Multiplicative Comparisons
Multi Step Word Problems
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Hodge Podge
100

Sally is five years old. Her mom is eight times older. How old is Sally’s Mom? 

Write a multiplicative comparison to solve.

5 x 8 = 40

100

On a vacation, your family travels 267 miles on the first day, 194 miles on the second day and 34 miles on the third day.

How many miles did they travel total?

267 + 194 + 34 = 495
100

Ben has twice as many pets as Tom. If Ben has 8 pets how many pets does Tom have?

Tom has 4 pets.

100

Jason has a sticker album that contains 5 pages. Each page has 12 rows of stickers with 5 stickers in each row. How many stickers are in Jason’s sticker album?

Jason has 300 stickers in his album.

12 rows x 5 stickers = 60 stickers

60 stickers x 5 pages = 300 stickers

100

Mr. Jones bought a dining table and 8 identical chairs for $1,700. If the table cost $500, what was the cost of 1 chair?

$1,700 - $500 = $1,200

$1,200 / 8 chairs = $150 per chair


200

Sally has five times as many pencils as Mary. If Sally has 5 pencils, how many does Mary have?

Write a multiplicative comparison to solve.

5 x 5 = 25 

200

Mary had 44 pencils. Six pencils fit into each of her pencil pouches. How many pouches did she fill?

44 ÷ 6 = 7 r 2

7 full pouches with six pencils each

2 pencils remaining

200

A red umbrella costs $8.00. A green umbrella costs 3 times as much as the red umbrella. How much does the green umbrella cost?

The green umbrella costs $24.00.

200

Sam wants to wallpaper a wall in his bedroom. The wall measures 15 feet wide by 9 feet high. A door on the wall measures 7 feet high by 3 feet wide. How much wall paper should Sam purchase?

15 feet x 9 feet = 135 square feet

7 feet x 3 feet = 21 square feet

135 feet - 21 feet = square 114 feet

200

The answer to a division problem is 364. What might the question be?

Answers will vary.

The host (teacher) is the judge.

300

A blue scarf costs $3. A red scarf costs 6 times as much. How much does the red scarf cost?

3 × 6 = 18

300

There are 128 students going on a field trip. If each bus held 30 students, how many buses are needed?

128 ÷ 30 = 4 r 8

5 buses

4 full with 40 students = 120 students

1 bus for the remaining 8 students

300

Maddy has 32 shells. This is 4 times as many shells as Rob has. Write a multiplication equation to represent this situation.

R x 4 = 32

300

Bella wants to know how many rooms are in her apartment building. The apartment building has 17 floors and each floor has 8 apartments. There are 6 rooms in each apartment. How many rooms are in Bella's apartment building?

17 floors x 8 apartments = 136 apartments

136 apartments x 6 rooms= 816 rooms

300

A shipment of books came into the bookstore. There are 28 books of books and each box contains 32 books. How many books need to be unpacked from the boxes?

896 books need to be unpacked.

400

A red hat costs $18 and a blue hat costs $6. How many times as much does the red hat cost as the blue hat?

3 times as much

400

Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15. How much money did Chris spend on her new school clothes? 

3 × $12 + $15 =

400

The fox collected 36 eggs today. This is 3 times more than the coyote. Write an equation to represent this situation.  How many eggs did coyote collect today?

C x 3 = 36

Coyote collected 12 eggs.

400

Three sections of an auditorium are occupied. In Section A, there are 7 rows with 19 seats. In Section B, there are 6 rows with 21 seats. In Section C, there are 12 rows with 6 seats. Draw what the auditorium might look like and solve to find how many people are seated in the three sections.


Section A: 133 seats

Section B: 126 seats

Section C: 72 seats

400

Matilda can text 44 words a minute. How many words can she text in 12 minutes? Solve two ways (partial products, area model, or standard algorithm).

She can text 528 words in twelve minutes.

500

Helen raised $12 for the food bank last year and she raised 6 times as much money this year. How much money did she raise this year?

12 x 6 = 72
500

Kim has 28 cookies. She wants to share them equally between herself and 3 friends. How many cookies will each person get?

7 cookies


28 ÷ 4 = 7

Divide by four because Kim is sharing with 3 friends and herself.

500

During week 1 of the fund raiser, 75 children donated coins. During week 2, four times as many children donated coins. How many children donated coins during week 2?  Write an equaiton with a sympol to represent this situation.

300 children donated coins.

75 x 4 = C

500

Write a word problem where the answer is 27 and 1 remainder.

Answers will vary.

The host (teacher) is the judge.

500

Carl and LeAnna are trying to use a strategy to find 18 x 470. Carl uses the expression 3 x 6 x 470 to solve the problem. LeAnna uses 3 x 2 x 3 x 470 to solve the problem. Who is correct? What did you notice about the equations and your solutions?

Both students are correct.

- Both equations equal 8,460.

- 3 x 6 equals 18, and so does 3 x 2 x 3.

- Both equations are the same as 18 x 470.

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