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 $ c $ be the number of children.
Given:
$ 3c = 21 $
Solve:
$ c = 21 ÷ 3 = 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 × 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: $ 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 × 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: $ 10 ÷ 2 = 5 $
So, he 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: $ 32 ÷ 4 = 8 $
So, 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: $ 25 ÷ 5 = 5 $
✔ 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 × 6 = 48 $ oranges
✔ 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: $3
Haley: $ 4 × 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 $ m $ = number of missed shots
She made 7 times as many as she missed:
$ 7m = 14 $
Solve:
$ m = 14 ÷ 7 = 2 $
✔ Answer: 2
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12) At the state fair 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 $ g $ = number of game tickets
He spends 6 ride tickets for every 1 game ticket → ratio: $ \text{rides} : \text{games} = 6:1 $
Given: Rides = 48
So:
$ 6g = 48 $
$ g = 48 ÷ 6 = 8 $
✔ 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 multiplication comparison word problems worksheet.
