lesson 10 - grants pass school district...study the example showing how to use a model to solve a...

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Practice Lesson 10 Solve Multi-Step Problem

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©Curriculum Associates, LLC Copying is not permitted.96 Lesson 10 Solve Multi-Step Problems

Solve.

3 The table below shows the cost of admission tickets at a museum. Write and solve an equation to fi nd the cost of tickets for 1 child and 2 adults.

Child AdultCost of ticket $6 $11

Show your work.

Solution: ___________________________________

4 Liz is training for a swim meet. Her goal is to swim 100 laps. She swam 12 laps in the pool on each of 3 days. Write and solve an equation to fi nd how many more laps Liz needs to swim to reach her goal.

Show your work.

Solution: ___________________________________

5 Paperbacks sell for $2 and hardcover books sell for $4 at the library book sale. The library made $98 at the sale. There were 25 paperback books sold. Write and solve an equation to fi nd how many hardcover books were sold.

Show your work.

Solution: ___________________________________

Vocabularyequation a

mathematical sentence

that uses an equal sign

(5) to show that two

expressions have the

same value.

M

9696 Lesson 10Lesson 1096

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M

Possible work: A 5 6 1 (2 3 11)A 5 6 1 22A 5 28

Tickets for 1 child and 2 adults cost $28.

There were 12 hardcover books sold.

Liz needs to swim 64 more laps.

Possible work: (3 3 12) 1 L 5 100 36 1 L 5 100 L 5 100 2 36 L 5 64

Possible work: 98 5 (2 3 25) 1 (4 3 H) 98 5 50 1 (4 3 H) 98 2 50 5 4 3 H 48 5 4 3 H 12 5 H

©Curriculum Associates, LLC Copying is not permitted. 95Lesson 10 Solve Multi-Step Problems

Name:

Prerequisite: Solve Two-Step Problems

Study the example showing how to use a model to solve a two-step word problem. Then solve problems 1–5.

1 Use estimation to check whether 128 is a reasonable answer in the example above.

p 5 200 2 72

Round to the nearest ten. p 5 2

Subtract the rounded numbers. 5 2

is close to 128 so 128 is a reasonable answer.

2 There are 8 students at each of 4 round tables in the cafeteria. There are 64 students at long tables. Use the bar model to write and solve an equation to fi nd how many students there are in the cafeteria.

Show your work.

Solution: There are in the cafeteria.

Example

Brian and his friends are doing a 200-piece jigsaw puzzle. Each of the 6 friends has placed 12 puzzle pieces. How many pieces have not been placed?

128 pieces have not been placed.

Solve Multi-Step Problems

Lesson 10

6 3 12 p

200

(6 3 12) 1 p 5 200 72 1 p 5 200 p 5 200 2 72 p 5 128

4 3 8 64

V

Vocabularyreasonable something

that makes sense when

the given facts are taken

into account.

9595 Solve Multi-Step Problems Solve Multi-Step Problems 95

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B

(4 3 8) 1 64 5 V32 1 64 5 V

96 5 V

130

200 70

130 200 70

96 students

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Solve.

3 Meghan found 15 pieces of sea glass on the beach. The next day she found 4 more pieces than she found the day before. Write and solve an equation to fi nd how many pieces of sea glass she found altogether.

Show your work.

Solution: ___________________________________

4 The table shows ticket prices at a movie theater. Ticket sales to an afternoon show were $146. There were 10 child tickets sold. Write and solve an equation to fi nd how many adult tickets were sold.

Show your work.

Solution: ___________________________________

5 Ticket prices for 3-D movies are $10 for a child and $15 for an adult. One adult spent $55 to take a group of children to the movies. Write and solve an equation to fi nd how many children went to the movies.

Show your work.

Solution: ___________________________________

Child AdultTicket price $5 $12

M


C

M

Possible equation: G 5 15 1 (15 1 4) 5 15 1 19 5 34

Possible equation: 146 5 (10 3 5) 1 (a 3 12) 146 5 50 1 (a 3 12) 146 2 50 5 a 3 12 96 5 a 3 12 8 5 a

Possible equation: C 5 (55 2 15) 4 10 C 5 40 4 10 C 5 4

Meghan found 34 pieces of sea glass.

8 adult tickets were sold.

4 children went to the movies.


Name: Name: Name: Lesson 10


Study the example showing how to model a multi-step problem with a remainder. Then solve problems 1–5.

1 Check the solution to the equation in the example.

tables 3 students per table 1

students 5 total students

2 Leticia earns $8 each time she rakes the yard. She has earned $24 so far. Write and solve an equation to show how many more times Leticia needs to rake the yard to earn enough to buy a music player that costs $45.

Show your work.

Solution: ___________________________________

Example

Mrs. Murray has 12 students in one science class and 14 students in another. She wants to combine both classes to do group work. Each table in the science room can seat 4 students. How many tables does Mrs. Murray need?

0 8 24164 2012 28

12 14

Let T equal the number of tables needed.

T 5 (12 1 14) 4 4 5 26 4 4 5 6 R2

6 R2 means:• 6 tables with 4 students each• 2 more students need another table

Mrs. Murray needs 7 tables.

Vocabularyremainder the amount

left over that will not

divide equally into the

given number of groups.

26 4 4 5 6 R2


M

B

M 5 (45 2 24) 4 8 5 21 4 8 5 2 R5

Leticia needs to rake the yard

3 more times.

6 4

2 26

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Solve.

4 The table shows the results of a bake sale. The cost of renting tables for the bake sale was $100.

Write and solve an equation to show how much money the bake sale made.

Baked item Number sold PriceCookies 90 $1 each

Brownies 75 $1 each

Crispy treats 60 $2 each

Cupcakes 50 $3 each

Show your work.

Solution:

5 Look at the table in problem 4. If 10 fewer cookies and 10 more cupcakes were sold, how much would the bake sale have made?

Show your work.

Solution:

How do you show the cost of renting the tables in the equation?

Which numbers in the equation you wrote in problem 4 do you need to change?


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M

Possible work:Cookies: 90 3 1 5 90Brownies: 75 3 1 5 75Crispy treats: 60 3 2 5 120Cupcakes: 50 3 3 5 150

M 5 (90 1 75 1 120 1 150) 2 100M 5 435 2 100 5 335

Possible work:Cookies: 80 3 1 5 80Brownies: 75 3 1 5 75Crispy treats: 60 3 2 5 120Cupcakes: 60 3 3 5 180(80 1 75 1 120 1 180) 2 100 5 $355

The bake sale made $335.

The bake sale would have made $355.


Name:

3 The community center used 4 recycling bins one week, twice as many the next week, 7 bins the third week, and 5 bins the last week of the month. Which equation shows how many bins were used for the month?

A 4 1 (2 3 7) 1 7 1 5 5 30

B 4 1 (2 3 4) 1 7 1 5 5 24

C (1 3 4) 1 (2 3 4) 1 (3 3 7) 1 5 5 34

D 4 1 (4 4 2) 1 7 1 5 5 18

Mia chose A as the correct answer. How did she get that answer?

2 Solve the equation in problem 1 to fi nd how many granola bars each team gets. Are bars left over?

Show your work.

Solution: ___________________________________

1 Jensen bought 10 boxes of granola bars. Each box has 8 bars. He wants to share the bars with 6 soccer teams. Which equation can be used to fi nd how many bars each team gets?

A b 5 (8 3 10) 2 6 C b 5 (6 1 8) 4 10

B b 5 (10 1 6) 4 8 D b 5 (10 3 8) 4 6

Name: Name: Lesson 10

What operation can you use to put the bars into equal-sized groups?

What does the remainder mean?

Which numbers do you place in parentheses?


Solve the problems.


M

M

B

b 5 (10 3 8) 4 6b 5 80 4 6 5 13 R2

Each team gets 13 bars. 2 bars are left over.

Possible answer: Mia multiplied 2 3 7 for the second week

instead of multiplying 2 3 4.

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lesson 10 - grants pass school district...study the example showing how to use a model to solve a...

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