# Multiplicative Comparison Word Problems Lesson and Examples

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## 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.

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## 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.

1. 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?
2. Jasmine has 2 times as many stickers as Chloe. Chloe has 12 stickers. How many stickers does Jasmine have?

1. Let k = the weight of Ashley’s kitten. k = 2 x 4, k = 8, Ashley’s kitten weighs 8 pounds.
2. 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.

1. 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?
2. James has 51 stickers. James has 3 times as many stickers as Chuck. How many stickers does Chuck have?

1. Let d = the weight of Dave’s kitten. d = 9/3, d = 3, Dave’s kitten weighs 3 pounds.
2. 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.

1. 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?
2. Tanya scored 3 times as many points as Stacy on a video game. Stacy scored 57 points. How many points did Tanya score?
3. Peter scored 4 times as many points as Bob on a video game. Bob scored 84 points. How many points did Peter score?
4. 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?
5. Emily scored 2 times as many points as Sarah on a video game. Sarah scored 63 points. How many points did Emily score?