# Word Problems Involving Multiplicative Comparisons

Students will use multiplication or division to solve word problems involving multiplicative comparisons.

## Lesson Objective

The lesson is aligned to the Common Core State Standards for Mathematics – 4.OA.2 Operations and Algebraic Thinking - Multiply or divide to solve word problems involving multiplicative comparison.

## Materials Required

Calculator

## Using Multiplication to Solve Word Problems Involving Multiplicative Comparisons

**Part A**

Look at the word problem below.

Jacob’s dog weighs 3 times as much as Aaron’s dog. Aaron’s dog weighs 14 pounds. How much does Jacob’s dog weigh?

This word problem can be represented by a multiplication equation. The weight of Jacob’s dog is unknown. Let *w* represent the weight of Jacob’s dog.

*w* = 3 x 14

*w* = 42

Jacob’s dog weighs 42 pounds.

**Part B**

Look at the word problems below. Write a multiplication equation for each word problem. Solve the equations and label your answers.

- Ashley has a kitten that weighs 2 times as much as Carly’s kitten. Carly’s kitten weighs 4 pounds. How much does Ashley’s kitten weigh?
- Jasmine has 2 times as many stickers as Chloe. Chloe has 12 stickers. How many stickers does Jasmine have?

**Answers:**

- Let
*k*= the weight of Ashley’s kitten.*k*= 2 x 4,*k*= 8, Ashley’s kitten weighs 8 pounds. - Let
*s*= the number of stickers Jasmine has.*s*= 2 x 12,*s*= 24, Jasmine has 24 stickers.

## Using Division to Solve Word Problems involving Multiplicative Comparisons

**Part A**

Look at the word problem below.

Darren’s dog weighs 36 pounds. Darren’s dog weighs 3 times as much as Corey’s dog. How much does Corey’s dog weigh?

This word problem can be represented by a division equation. The weight of Corey’s dog is unknown. Let *c* represent the weight of Corey’s dog.

*c* = 36 / 3

*c* = 12

Cory’s dog weighs 12 pounds.

**Part B**

Look at the word problems below. Write a multiplication equation for each word problem. Solve the equations and label your answers.

- Andy’s kitten weighs 9 pounds. Andy’s kitten weighs 3 times as much as Dave’s kitten. How much does Dave’s kitten weigh?
- James has 51 stickers. James has 3 times as many stickers as Chuck. How many stickers does Chuck have?

**Answers:**

- Let
*d*= the weight of Dave’s kitten.*d*= 9/3,*d*= 3, Dave’s kitten weighs 3 pounds. - Let
*c*= the number of stickers Chuck has.*c*= 51/3,*c*= 17, Chuck has 17 stickers.

## Individual or Group Work

Use multiplication or division to solve the word problems about a video game. Write the equation for each word problem. Solve the equations and label your answers.

- Ken’s score on a video game is 540 points. Ken’s score is 4 times as many points as Alex’s score. How many points is Alex’s score?
- Tanya scored 3 times as many points as Stacy on a video game. Stacy scored 57 points. How many points did Tanya score?
- Peter scored 4 times as many points as Bob on a video game. Bob scored 84 points. How many points did Peter score?
- Ben’s score on a video game is 990 points. Ben’s score is 3 times as many points as John’s score. How many points is John’s score?
- Emily scored 2 times as many points as Sarah on a video game. Sarah scored 63 points. How many points did Emily score?

**Answers:**

- Let
*a*= Alex’s points.*a*= 540 / 4,*a*= 135, Alex’s score is 135 points. - Let t = Tanya’s points.
*t*= 3 x 57,*t*= 171, Tanya’s score is 171 points. - Let
*p*= Peter’s points.*p*= 4 x 84,*p*= 336, Peter’s score is 336 points. - Let
*j*= John’s points.*j*= 990 / 3,*j*= 330, John’s score is 330 points. - Let
*e*= Emily’s points.*e*= 2 x 63,*e*= 126, Emily’s score is 126 points.