# MA.5.M.2.1

Solve multi-step real-world problems involving money using decimal notation.

### Examples

Don is at the store and wants to buy soda. Which option would be cheaper: buying one 24-ounce can of soda for \$1.39 or buying two 12-ounce cans of soda for 69¢ each?
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Measurement
Date Adopted or Revised: 08/20
Status: State Board Approved

## Benchmark Instructional Guide

• NA

### Vertical Alignment

Previous Benchmarks

Next Benchmarks

### Purpose and Instructional Strategies

The purpose of this standard is for students to apply understanding of multi-step real-world problems, measurement conversions, and decimal operations to solve problems involving money (MTR.7.1). This benchmark connects to previous work in grade 4 where students added and subtracted money in real world situations (MA.4.M.2.2). Money contexts continue to be important throughout the later grades.
• During instruction, teachers should provide strategies for helping students comprehend what is happening in the problem and what needs to be found before students complete numerical calculations. Students should be encouraged to estimate a solution and model a problem using manipulatives, pictures and/or equations before computing (MTR.2.1).

### Common Misconceptions or Errors

• Students can misinterpret multi-step word problems and only complete one of the steps. Encourage students to estimate reasonable solutions and justify models to solve before computing.

### Strategies to Support Tiered Instruction

• Instruction includes encouraging students to estimate reasonable solutions and justify models before performing computations of a multi-step word problem.
• Instruction includes using visual models, such as bar models or tape diagrams, to help to visualize the problem.
• For example, which is a better deal, buying one 24oz. can for \$1.39 or two 12 oz. cans for \$0.69 each?
• Instruction includes visualizing word problems. The Three-Reads Protocol is a strategy that can be used to help students conceptualize what the question is asking. Students draw pictures or models to represent what is happening in the word problem. These pictures and models can be used to help students write equations for the problem they are solving.
• Instruction includes breaking down word problems into smaller parts. Students use a highlighter to emphasize the important information in the word problem and paraphrase the word problem so the teacher can determine if the student understands what the question is asking.

### Instructional Tasks

Instructional Task 1 (MTR.7.1

Jordan was saving his money to buy a remote control motorcycle. He saved \$37.81 from his allowance and received two checks worth \$10.00 each for his birthday. Jordan also has a half dollar coin collection with 30 coins in it. If the motorcycle costs \$72.29, does Jordan have enough money to buy the motorcycle?

### Instructional Items

Instructional Item 1

Pecans and almonds each cost \$6.80 per pound. Kendall buys 1.5 pounds of pecans and 2.5 pounds of almonds. What is the total cost of Kendall’s purchase?

Instructional Item 2

A table below shows the costs of items at a candy store.

Wayne has \$10 to spend. Select all the purchases that Wayne has enough money to make.
• a. 3 chocolate bars
• b. 25 ounces of candy rope
• c. 2 chocolate bars and 3 peanut butter cups
• d. 3 peanut butter cups and 5 ounces of bubble gum
• e. 24 ounces of bubble gum and 2 ounces of candy rope

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.

## Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.5.M.2.AP.1: Solve one- and two-step addition and subtraction real-world problems involving money using decimal notation with all terms less than \$20.00 (e.g., \$11.74 + \$5.31, \$10.99 − \$3.26).

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Educational Game

Change Maker:

This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over \$100.

Type: Educational Game

## Formative Assessment

Buying Candy Bars:

Students are asked to solve a word problem involving multiplication of a decimal by a whole number using a model or drawing or a strategy based on place value, the relationship between multiplication and division, or properties of operations.

Type: Formative Assessment

## Lesson Plans

Preparing for a Natural Disaster:

Students work collaboratively as they develop a procedure to determine the types of items they may need in case of a natural disaster, calculate costs to stay within a budget, identify civic responsibility, and understand how state and federal governments work together to protect U.S. citizens in this model eliciting activity.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations.  Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Florida Food Round Up!:

Most families must buy food and household items that they will need every few weeks. Instead of randomly throwing things into a shopping cart and paying whatever the total is, many families must stick carefully to a predetermined budget to buy all of the items they need. A helpful way to make sure that you are able to buy everything needed is to use a list that is written before going shopping. Families must also determine, if they will purchase "name brand" or "store brand" products. Today, students will practice using a grocery list with a predetermined budget as they add and subtract decimals.

Type: Lesson Plan

Hoverama:

In this lesson students will create a model hovercraft. The challenge is to lift the most mass. Students will use their knowledge of forces and how increased mass interacts with motion. They will need to follow a budget in order to purchase building material for their hovercraft. While budgeting, students will apply real world mathematical (money) problem solving. Students will use iPads to record and document the process of the engineering and building of their model hovercrafts.

Type: Lesson Plan

Icky, Icky, No More Slicky:

In this lesson, 5th grade students will build an engineering device to separate oil from water in a simulated oil spill. Students will have an opportunity to learn about the impact that humans can have on the environment, both positively and negatively.

This is an Engineering Design Challenge that is best used after a unit or lesson that is aligned to science standards on solving problems or materials which dissolve in water. This challenge provides students a means to use their knowledge of the way materials will or will not dissolve in water to create and design an oil spill removal tool while learning the Engineering Design Process and being exposed to the field of engineering. This lesson is not intended as an initial introduction to the standard and would be best utilized as a culmination lesson.

Type: Lesson Plan

The Coasta with the Mosta:

Students will create an exciting and thrilling roller coaster model. Students will use their knowledge of forces to build a model of a roller coaster using foam insulation and a marble.

Type: Lesson Plan

When the Wind Blows:

This is an engineering design process lesson that covers forces and motion. It is designed to engage students using hands-on problem solving strategies.

Type: Lesson Plan

Bottling Rockets:

In this lesson, students will explore the concepts of force and motion as they use the engineering design process to create and test rockets. Students will demonstrate their understanding of familiar forces by creating and presenting a poster. Take students up, up, and away with this engaging lesson!

Type: Lesson Plan

From Trash to Treasure - An Engineering Design Challenge:

This lesson gives students hands-on experience with sorting mixtures based on their properties. The students will relate these science standards to a real-world problem of eliminating trash in land fills. They will have to purchase the tools they use to create their assembly line to sort the garbage within the budget provided.

Type: Lesson Plan

Bridge Over Troubled Waters:

In this engineering lesson, students will design and construct a bridge that will be free-standing and support a toy car.

Type: Lesson Plan

Medic Mass Landing: Engineering Design Challenge:

In this lesson, 5th grade students work in small groups on a STEM challenge that involves science and math standards related to force, motion, and measurement, as well as learning the engineering design process.

Type: Lesson Plan

How Much Did I Earn? Division with Decimals:

This lesson will introduce division of decimals using place value decomposition. Students will use base 10 blocks, division strategies and place value knowledge to divide decimals by whole numbers.

Type: Lesson Plan

Shopping for My Trip to the Beach:

This lesson will provide practice in adding/subtracting decimals in money form.  Student will model with base-ten blocks and then using the standard algorithm, through the hundredths place. This is not an introductory lesson. Students should already have conceptual knowledge and practice adding four-digit numbers using manipulatives or other methods.

Type: Lesson Plan

Deft Drawings for Decimal Division:

In this lesson, students divide decimals to hundredths in real-world word problems by drawing illustrations based on place value and explaining the reasoning used.

Type: Lesson Plan

Wire We All Wet?:

A fire caused by faulty wiring set off a sprinkler system, which damaged a school. The school must be remodeled and the electrical wiring must be replaced. Students will decide which materials to use to as conductors and which to use as insulators in the new wiring.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Where Will We Stay?:

In this lesson, students explore lodging options for their dream family vacation. Students will plan a vacation for a family of four. With a budget of \$5,000 students will prepare a budget to include the cost of transportation, lodging, and attractions. In this lesson, students will focus on preparing the budget for hotel costs. In lesson 1 of this unit lesson, students prepared a budget for transportation. In the subsequent lesson to this one, students will prepare a budget for the entertainment/attractions costs portion of their vacation. Teachers can choose to do one, some, or all lessons as they can be completed independently of one another.

Type: Lesson Plan

Blessings in a Bag!!:

In this MEA, the students will help a charitable organization select 5 snack items from a list to provide nutritious snacks for children in low-income communities.  Students will practice using the four operations to solve real-world problems and use decimal notation to make calculations involving money.  Additionally, they will be asked to compare multi-digit numbers to the thousandths.

Type: Lesson Plan

Getting the Top Mini-Fridge not a Small Deal:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one should be purchased for the school by the PTA based on size, type, features, energy usage, and cost.  In the process, students will solve real-world problems involving the multiplication of multi-digit numbers with decimals to the hundredths, including using money.  Students will also determine the volume of a rectangular prism using a formula.

Type: Lesson Plan

Buy Buy Toy Store is Relocating:

This is a Model Eliciting Activity in which students are asked to assist a toy company in ranking several cities for them to consider where they will open their next store. They also read data and apply multiplication skills.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

To Oregon by Wagon:

Students work in teams to plan the contents of a covered wagon for a family relocating from Missouri to Oregon. Students must calculate the weight and cost of the wagon by adding, subtracting, and multiplying with decimals.

Type: Lesson Plan

Bill of Rights Billboard:

This MEA will deepen students' knowledge of the Bill of Rights through collaborative problem solving. Students are required to analyze data in order to recommend three Amendments to celebrate during a community festival.  They will perform operations with fractions and mixed numbers to recommend advertising options for the festival within a budget.

Type: Lesson Plan

Out to Lunch: Decimal Operations with a Menu:

In this lesson students work toward fluency with decimal operations by using a snack bar menu and going "Out to Lunch" with a friend.

Type: Lesson Plan

Wildlife Refuge MEA- Feeding the Animals:

Students use mathematical practices to recommend food packages for the Wildlife Refuge of North America to order.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Supermarket Sweep!:

In this lesson, students will use a grocery store ad to select items for purchase, working within the constraint of making their purchases with a \$50 gift card. After their initial plan, they have some emergency expenses that change the amount of the gift card unexpectedly, and they must alter their list and re-compute how much money would remain on their gift card after their planned purchases are made.

Type: Lesson Plan

A Tasty Treat:

In this lesson, students will be given a list of ingredients and prices they must use to create their own snack mix. Students will have to add, subtract, multiply, and divide decimal numbers. The closure of the lesson focuses specifically on the division strategies students used to solve the problem.

Type: Lesson Plan

Currency Craze!:

If I travel to Italy, can I buy a raspberry gelato with a \$5.00 bill? Students will understand that other countries use currencies different from the United States, and that when visiting those countries, exchange rates are used to determine the value of the United States dollar (USD). This lesson integrates Mathematics with Social Studies as the students apply their knowledge of decimals and basic operations with their passports for a real-world application.

Type: Lesson Plan

Are You Ready for a Hurricane?:

This activity allows students to determine the types of items that should be in a hurricane survival kit, use a budget and calculations to determine the items to include in the kit and gain an understanding of hurricanes and the need to prepare for them.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Math Club T-Shirt MEA:

This Model Eliciting Activity (MEA) is written at a 5th grade level. This MEA asks the students to decide on a t shirt that will provide the school’s Math club with the best value for their money. Students are asked to rank order the t shirt company options from best to worst. Students must explain how they arrived at their solution.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Bridge to Perfection:

During this activity, students will read a book about the Brooklyn Bridge. After whole class discussion, children will explore different types of bridges and data, in order to decipher which bridge is the strongest. The students will work collaboratively in groups with assigned student roles. Students will utilized Higher Order thinking to create a solution. The culminating activity is a presentation of solution to whole class.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Better Buy: 75 fl oz or 150 fl oz?:

The students will clip out advertisements or use the attached PowerPoint to determine the better buy between small quantities and large quantities. The students will answer the question, "Which item costs less per unit?" and demonstrate fluency in dividing with decimals.

Type: Lesson Plan

Shopping on a Budget:

This lesson reinforces multiplication of money by a whole number. Students will be presented with real-world items such as cans of soup, etc to investigate the concept of multiplying decimals. The culminating activity of the lesson is for students to create a school supply order for their classroom utilizing school supply catalogs.

Type: Lesson Plan

“Dinner with Friends”:

The students will determine what to order at a dinner with friends yet stay within a budget. The students will try to maximize their budgets and order as much food as they possibly can with their given amount of money.

Type: Lesson Plan

Wallpaper Woes Money Math: Lessons for Life:

Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs.

Type: Lesson Plan

## Original Student Tutorial

U.S. States and Capitals: Kentucky, North Carolina, and South Carolina:

Learn about three states and their capitals by taking a trip to Kentucky, North Carolina, and South Carolina in this interactive tutorial. Practice your math skills by solving multi-step real world problems involving money and decimals.

Type: Original Student Tutorial

## Problem-Solving Tasks

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

Type: Problem-Solving Task

What is 23 ÷ 5?:

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Type: Problem-Solving Task

## Tutorial

Units of Measurement Word Problem: Making Change:

This Khan Academy tutorial video presents a strategy for computing the amount of change to be received after making a purchase.

Type: Tutorial

## STEM Lessons - Model Eliciting Activity

Are You Ready for a Hurricane?:

This activity allows students to determine the types of items that should be in a hurricane survival kit, use a budget and calculations to determine the items to include in the kit and gain an understanding of hurricanes and the need to prepare for them.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Bill of Rights Billboard:

This MEA will deepen students' knowledge of the Bill of Rights through collaborative problem solving. Students are required to analyze data in order to recommend three Amendments to celebrate during a community festival.  They will perform operations with fractions and mixed numbers to recommend advertising options for the festival within a budget.

Blessings in a Bag!!:

In this MEA, the students will help a charitable organization select 5 snack items from a list to provide nutritious snacks for children in low-income communities.  Students will practice using the four operations to solve real-world problems and use decimal notation to make calculations involving money.  Additionally, they will be asked to compare multi-digit numbers to the thousandths.

Bridge to Perfection:

During this activity, students will read a book about the Brooklyn Bridge. After whole class discussion, children will explore different types of bridges and data, in order to decipher which bridge is the strongest. The students will work collaboratively in groups with assigned student roles. Students will utilized Higher Order thinking to create a solution. The culminating activity is a presentation of solution to whole class.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Buy Buy Toy Store is Relocating:

This is a Model Eliciting Activity in which students are asked to assist a toy company in ranking several cities for them to consider where they will open their next store. They also read data and apply multiplication skills.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Getting the Top Mini-Fridge not a Small Deal:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one should be purchased for the school by the PTA based on size, type, features, energy usage, and cost.  In the process, students will solve real-world problems involving the multiplication of multi-digit numbers with decimals to the hundredths, including using money.  Students will also determine the volume of a rectangular prism using a formula.

Math Club T-Shirt MEA:

This Model Eliciting Activity (MEA) is written at a 5th grade level. This MEA asks the students to decide on a t shirt that will provide the school’s Math club with the best value for their money. Students are asked to rank order the t shirt company options from best to worst. Students must explain how they arrived at their solution.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

To Oregon by Wagon:

Students work in teams to plan the contents of a covered wagon for a family relocating from Missouri to Oregon. Students must calculate the weight and cost of the wagon by adding, subtracting, and multiplying with decimals.

Wildlife Refuge MEA- Feeding the Animals:

Students use mathematical practices to recommend food packages for the Wildlife Refuge of North America to order.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Wire We All Wet?:

A fire caused by faulty wiring set off a sprinkler system, which damaged a school. The school must be remodeled and the electrical wiring must be replaced. Students will decide which materials to use to as conductors and which to use as insulators in the new wiring.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

## MFAS Formative Assessments

Buying Candy Bars:

Students are asked to solve a word problem involving multiplication of a decimal by a whole number using a model or drawing or a strategy based on place value, the relationship between multiplication and division, or properties of operations.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorial

U.S. States and Capitals: Kentucky, North Carolina, and South Carolina:

Learn about three states and their capitals by taking a trip to Kentucky, North Carolina, and South Carolina in this interactive tutorial. Practice your math skills by solving multi-step real world problems involving money and decimals.

Type: Original Student Tutorial

## Educational Game

Change Maker:

This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over \$100.

Type: Educational Game

## Problem-Solving Tasks

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

Type: Problem-Solving Task

What is 23 ÷ 5?:

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Type: Problem-Solving Task

## Tutorial

Units of Measurement Word Problem: Making Change:

This Khan Academy tutorial video presents a strategy for computing the amount of change to be received after making a purchase.

Type: Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

## Problem-Solving Tasks

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

Type: Problem-Solving Task

What is 23 ÷ 5?:

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Type: Problem-Solving Task