Name
Number and Operations in Base Ten
4.NBT.4, 4.NBT.5, 4.OA.3
Lesson 5
Solve Multi-Step
Word Problems
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A store had 3 baskets. Each basket had 62 necklaces. In the
morning, 25 necklaces were sold. In the afternoon, some necklaces
were returned. At the end of the day, there were 166 necklaces.
How many necklaces were returned?
Write an equation to represent the problem.
baskets of
necklaces
–
necklaces
sold
+
necklaces
returned
= total
(3 × 62)
–
25
+
n
= 166
Use a variable.
Solve for the unknown quantity.
Multiply.
(3 × 62) - 25 + n = 166
Subtract.
186 - 25 + n = 166
- 25 + n = 166
+ n = 166
Use mental math. 161 + n = 166
161 + 5 = 166
166
161
n
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So, 5 necklaces were returned.
Practice
1. Gina works at a diner. She earns $6 each hour plus tips. In one
week, she worked 37 hours a week and earned $43 in tips. How
much did she make altogether? Write an equation. Use a variable
for the unknown. Solve.
Lesson 5 My Homework309
Problem Solving
Write an equation for each problem. Use a variable for
the unknown number. Solve.
2
2.
Use Number Sense It costs $45 to
rent a car each day. There is also a fee of $12. How much
does it cost to rent a car for 5 days, including the fee?
3. A climbing gym charges $10 to climb each day. A pair of
climbing shoes costs $84. It costs $169 to buy 6 days of
climbing, one pair of climbing shoes, and one harness.
How much does a harness cost?
4. A travel agency charges $64 for each bus ticket and
$82 for each train ticket. How much does it cost to buy
3 bus tickets and 4 train tickets?
Vocab
Vocabulary Check
5. Label each part of the equation. Write operation or variable.
Test Practice
6. There are three shelves. Each shelf has 28 books. There is also a
stack of some more books. There are a total of 85 books. Which
equation represents this situation?
A
(3 × 28) + b = 85
C
(3 × 28) + 85 = b
B
(3 + 28) × b = 85
D
(3 + 28) × 85 = b
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n - 100 + r = 54