Let's solve each problem step by step and explain the reasoning behind each solution.
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1) A library checks out four fiction books and two non-fiction books an hour. How many more fiction books do they check out than non-fiction books?
Solution:
- Fiction books per hour = 4
- Non-fiction books per hour = 2
- Difference = 4 - 2 =
2
✔ Answer: 2
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2) There were twenty-one adults in line at a movie theater. That is three times the number of children in line. How many children were in line?
Let the number of children be $ x $.
Given:
$ 3x = 21 $
Divide both sides by 3:
$ x = 7 $
✔ Answer: 7
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3) A restaurant sold eight times as many salads as they sold steaks. If they sold four steaks, how many salads did they sell?
- Steaks sold = 4
- Salads sold = $ 8 \times 4 = 32 $
✔ Answer: 32
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4) A restaurant sold nine salads and forty-five steaks. How many times as many steaks did they sell as salads?
- Steaks = 45
- Salads = 9
- Ratio = $ \frac{45}{9} = 5 $
So, they sold
5 times as many steaks as salads.
✔ Answer: 5
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5) A pet store sold two cats. They sold six times as many dogs as they sold cats. How many dogs did they sell?
- Cats sold = 2
- Dogs sold = $ 6 \times 2 = 12 $
✔ Answer: 12
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6) Oliver was counting his spare change. He had ten dimes and two quarters. How many times as many dimes does Oliver have than quarters?
- Dimes = 10
- Quarters = 2
- Ratio = $ \frac{10}{2} = 5 $
Oliver has
5 times as many dimes as quarters.
✔ Answer: 5
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7) There were thirty-two adults and four children in line at a movie theater. How many times more adults were in the line than children?
- Adults = 32
- Children = 4
- Ratio = $ \frac{32}{4} = 8 $
There were
8 times as many adults as children.
✔ Answer: 8
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8) Vanessa sent twenty-five text messages a day. Mike sent five a day. How many times as many texts did Vanessa send than Mike?
- Vanessa = 25
- Mike = 5
- Ratio = $ \frac{25}{5} = 5 $
Vanessa sent
5 times as many texts as Mike.
✔ Answer: 5
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9) It takes Cody six oranges to make a small glass of orange juice. He uses eight times as many for a large glass. How many oranges does he use for a large glass?
- Small glass = 6 oranges
- Large glass = $ 8 \times 6 = 48 $
✔ Answer: 48
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10) Haley had four times as many dollars as her sister. Her sister has three dollars. How much money does Haley have?
- Sister’s money = $3
- Haley’s money = $ 4 \times 3 = 12 $
✔ Answer: 12
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11) Wendy was playing basketball. She made seven times as many shots as she missed. If she made fourteen shots, how many shots did she miss?
Let the number of missed shots be $ x $.
She made 7 times as many as she missed:
$ 7x = 14 $
$ x = 2 $
So, she missed
2 shots.
✔ Answer: 2
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12) At the state fair for every ticket Frank spent on games, he spent six on rides. If he spent forty-eight tickets on rides, how many could he spend on games?
Let the number of game tickets be $ x $.
For every 1 game ticket, he spends 6 ride tickets.
So:
$ 6x = 48 $
$ x = 8 $
He could spend
8 tickets on games.
✔ Answer: 8
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✔ Final Answers:
1. 2
2. 7
3. 32
4. 5
5. 12
6. 5
7. 8
8. 5
9. 48
10. 12
11. 2
12. 8
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Parent Tip: Review the logic above to help your child master the concept of multiplicative comparison problems 4th grade worksheet.
