Multiplication and Division in
Word Problems
Solve.
Name:
Copying is not permitted.
M
Prerequisite: Model Multiplication
3 Yesterday Ruth scored 2 points at the game. Today
she scored 8 times as many points as she did
yesterday. How many points did Ruth score today?
Study the example showing how to use a model to solve
a multiplication problem. Then solve problems 1–6.
Show your work.
Possible work:
16 is 8 times as many as 2.
2 3 8 5 16
16 points
Solution: ___________________________________
Example
Lauren worked 4 hours last week. She worked 3 times as many hours
this week as last week. How many hours did Lauren work this week?
Last week
4
This week
4
M
4
4 Matt planted 5 times as many flowers on Sunday
as he planted on Saturday. Matt planted 7 flowers
on Saturday. How many flowers did Matt plant
on Sunday?
4
12 is 3 times as many as 4.
12 5 3 3 4
12
Show your work.
Possible work:
35 is 5 times as many as 7.
7 3 5 5 35
35 flowers
Solution: ___________________________________
Lauren worked 12 hours this week.
B
1 Nina picked 8 tomatoes last month. She picked
4 times as many tomatoes this month. How many
tomatoes did Nina pick this month?
Label the bar model and complete the sentences.
Last month
8
This month
8
8
8
M
5 Mr. Ash has 7 students in art class. Mr. Trent has
double the number of students in his class as Mr. Ash.
How many students does Mr. Trent have in his class?
8
Show your work.
Possible work:
14 is 2 times as many as 7.
7 3 2 5 14
14 students
Solution: ___________________________________
32
32
is
4
32
5
4
Nina picked
32
.
tomatoes this month.
C
2 Ben has 6 marbles. Tom has 3 times as many
6 Which is more: 2 times as many as a number or
5 times as many as the same number? Explain.
Choose any number to show how you know.
marbles as Ben. How many marbles does Tom have?
6
6
0
6
6
3
3
Tom has
18
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5 18
marbles.
Copying is not permitted.
Vocabulary
6
12
18
5 times as many as a number is more than 2 times as many as the number.
multiplication an
operation used to find
the total number of
items in equal-sized
groups.
Lesson 6 Multiplication and Division in Word Problems
Possible explanation: I chose the number 1: 5 3 1 5 5 and 2 3 1 5 2.
5 . 2, so 5 times the number is more than 2 times the number.
56
56
55
55
Lesson 6 Multiplication and Division in Word Problems
Key
21
4/7/16 2:36 PM
B Basic
M Medium
C Challenge
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Unit 2
Unit 2 Operations and Algebraic Thinking
B
8
times as many as
8
3
For problems 3–5, students
might use a bar model, skip
count on a number line, or
use another model to solve
the problem.
Practice Lesson 6 Multiplication and Division in Word Problems
Practice and Problem Solving
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CC04MM RPPS TG TEXT.indb 21
Lesson 6
22
Name:
Solve.
Use Multiplication in Word Problems
M
Study the example showing one way to use multiplication to
solve a word problem. Then solve problems 1–5.
3 Look at how a student solved the problem below.
A cook used 12 eggs at lunch. He used 3 times
as many eggs at breakfast. How many eggs
did the cook use at breakfast?
Example
Sue swam 4 laps in a pool. Andy swam 5 times as many laps as Sue.
How many laps did Andy swim?
Number of laps Sue swam
4
Number of laps Andy swam
4
Skip count: 12, 24, 36, 48
The cook used 48 eggs at breakfast.
What did the student do wrong?
4
4
u
5345
5 3 4 5 20
Andy swam 20 laps.
B
4
Answers will vary. Possible answer: He skip counted to 48. He should have skip
4
counted 3 times, not 4.
?
M
4 Look at problem 3. Draw a bar model. Use the model
to write and solve an equation to find the correct answer.
1 Adam has 9 pennies. Ryan has 3 times as many
pennies as Adam. How many pennies does
Ryan have?
Label the bar model.
9
9
9
Write the answer.
B
u
u5534
u is the unknown.
3 3 9 5 27
Ryan has 27 pennies.
that amount to make jam. How many pounds of
berries does Jade need to make jam?
Skip count to find the amount Jade needs:
10 ,
15 .
Jade needs 15 pounds of berries.
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Solution: The cook used
12
.
at breakfast.
8 3 2 5 A ? Circle the letter of all that apply.
A In June, Ali read 8 books. In July, she read half as
many books. How many books did Ali read in July?
equation a
mathematical sentence
that uses an equal sign
(5) to show that two
expressions have the
same value.
57
57
B
Cal is twice as old as his sister. Cal’s sister is
8 years old. How old is Cal?
C
A muffin costs $2. Dylan bought 8 muffins. How
much did Dylan spend on muffins?
D Jordan has 8 apples and 2 oranges. How many
pieces of fruit does she have altogether?
5 3 4 5 20
Lesson 6 Multiplication and Division in Word Problems
36 eggs
5 Which problems can be solved using the equation
6375P
P is the unknown.
2 Jade picked 5 pounds of berries. She needs 3 times
5,
12
58
58
Lesson 6 Multiplication and Division in Word Problems
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Unit 2
Copying is not permitted.
4/7/16 2:36 PM
Unit 2 Operations and Algebraic Thinking
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Solve the equation.
12
u
unknown a missing
number in an equation.
Write an equation.
u for the unknown.
Breakfast
3 3 12 5
3 3 12 5 36
Vocabulary
?
Use
12
?
9
3 3 9 5
Lunch
Practice Lesson 6 Multiplication and Division in Word Problems
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 22
Lesson 6
Name:
Solve.
Use Division in Word Problems
Copying is not permitted.
M
Study the example showing a way to use division to
solve a word problem. Then solve problems 1–5.
3 Choose Yes or No to tell whether each equation is
solved correctly.
b. 7 3 H 5 28
The Tigers scored 36 points. They scored 4 times as many points
as the Lions. How many points did the Lions score?
Lions
?
Tigers
?
c.
M
?
?
36 5 4 3
?
4 James and Chris are in the school play. James has
42 lines to memorize. That is 6 times as many lines
as Chris. Write and solve an equation to find the
number of lines Chris has to memorize.
u
Show your work.
36
42 5 6 3 L
L57
u
36 4 4 5
36 4 4 5 9
The Lions scored 9 points.
B
C
collected 5 times as many cans as Gabe. Charlie
collected 50 cans. Draw a bar model you could use
to compare the number of cans each boy collected.
Gabe
?
Charlie
?
?
?
?
Vocabulary
u or 50 4 5 5 u
50 4 5 5 10
Gabe collected 10 cans.
Solution: ___________________________________
Copying is not permitted.
8
2
1
8
8
Possible answer shown. Answers
should show the same number in
each box of the model and a
product beneath the model that is
3 times the number in the model.
Equation: Possible answer: 24 5 3 3 a or 24 4 3 5 a
Solution:
59
59
3
24
36 4 4 5 9
Lesson 6 Multiplication and Division in Word Problems
4
8
equation a
mathematical sentence
that uses an equal sign
(5) to show that two
expressions have the
same value.
Show your work.
6
60
60
Possible answer: a 5 8
Lesson 6 Multiplication and Division in Word Problems
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23
4/7/16 2:36 PM
Unit 2
Unit 2 Operations and Algebraic Thinking
and solve an equation to show how many cans
Gabe collected.
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bar model. Then write and solve an equation using
the model.
division an operation
used to separate a
number of items into
equal-sized groups.
2 Look at the model you drew in problem 1. Write
50 5 5 3
5 Choose numbers from the tiles below to fill in the
24 12 8
?
42 4 6 5 L
or
Solution: Chris needs to memorize 7 lines.
1 Charlie and Gabe collected cans to recycle. Charlie
50
B
u u 5 12 u Yes u
3 No
H54
u
3 Yes u No
2 5 p4 5
p 5 10
u
3 Yes u No
a. 6 5 2 3
Example
Practice Lesson 6 Multiplication and Division in Word Problems
Practice and Problem Solving
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CC04MM RPPS TG TEXT.indb 23
Lesson 6
24
Name:
Solve.
Multiplication and Division in Word Problems
M
Solve the problems.
B
1 Lin and Karla are planning a party. Lin spent $20 on
invitations and decorations. Karla spent 4 times that
amount on food and entertainment. How much did
they spend altogether on the party?
M
A $20
C
B
D $120
$80
Do you need to use
more than one
operation to find the
answer?
3 There are 12 markers in a box. Mr. Ross needs 3 times
Do you need to use
all the numbers
given to solve the
problem?
that number of markers for his 4 math classes. How
many markers does Mr. Ross need altogether?
A 4
C
B
D 48
12
36
Greg chose A as the correct answer. How did he get
that answer?
$100
Possible answer: Greg divided 12 by 3 instead of multiplying 12 by 3.
2 Write and solve an equation for each problem
below.
Darcy earned $5. Samantha earned $30.
Samantha earned
times as much as Darcy.
e 5 30 4 5 or e 3 5 5 30
Equation: ___________________________________
You can write either
a multiplication
equation or a
division equation for
each problem.
M
4 Sofia and Tim are rolling marbles down a track. Sofia
has 20 marbles. She has 4 times as many marbles as
Tim. Tim has m marbles.
Choose Yes or No to indicate whether the equation
correctly indicates how to solve for m.
e56
Solution: ___________________________________
a. m 5 4 3 20
Carey teaches twice as many fitness classes as Fran.
If Fran teaches 7 classes, how many classes does
Carey teach?
c 5 14 classes
Solution: ___________________________________
Sample variables
shown in equations.
Letters used for
variables may vary.
C
u Yes u
3 No
3 Yes u No
u
u Yes u
3 No
5 Use the information in the table to answer the questions.
Number of Basketball Free Throws Made
Week 1
Week 2
Joelle practices piano for 3 times as many minutes a
day as Tran. Tran practices for 20 minutes a day. How
many minutes a day does Joelle practice?
Mariah
5
4 times Lisa
Lisa
3 times Mariah
4
Does it make sense
to multiply or
divide?
How many free throws did Lisa make in Week 1? l 5 3 3 5 5 15
m 4 3 5 20 or 3 3 20 5 m
Equation: ___________________________________
How many free throws did Mariah make in Week 2? m 5 4 3 4 5 16
m 5 60 minutes
Solution: ___________________________________
Who made more total free throws? Explain.
Mariah made more free throws.
Mariah: 16 1 5 5 21. Lisa: 15 1 4 5 19. 21 . 19.
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Lesson 6 Multiplication and Division in Word Problems
61
61
62
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Lesson 6 Multiplication and Division in Word Problems
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Unit 2
Copying is not permitted.
4/7/16 2:36 PM
Unit 2 Operations and Algebraic Thinking
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c 4 2 5 7 or 2 3 7 5 c
Equation: ___________________________________
b. 20 4 4 5 m
c. m 5 5 3 4
Is the number of
marbles that Sofia
has greater or less
than the number
Tim has?
Practice Lesson 6 Multiplication and Division in Word Problems
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 24
Lesson 6