Ratios (6.RP.A.1 .2 .3 .a .b .c .d) - Printable Worksheets - The - Free Printable

Let's solve each problem step by step and explain the reasoning behind each answer.

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1) For every 5 boys on a softball team there is 1 girl. What is the ratio of boys to girls?

- Given: 5 boys : 1 girl
- So, the ratio of boys to girls is 5:1

✔ Answer: 5:1

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2) The ratio of male to female birds in a bird cage was 5:2. For every ____ males there are ____ females.

- The ratio is 5 males to 2 females.
- So, for every 5 males, there are 2 females.

✔ Answer: 5 males, 2 females

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3) At the carnival the ratio of rides to games was 9:8. For every ____ games there are ____ rides.

- Ratio of rides to games = 9:8
- That means for every 8 games, there are 9 rides

✔ Answer: 8 games, 9 rides

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4) In a bag of candy for every 3 chocolate pieces there are 7 sugar pieces. What is the ratio of chocolate pieces to sugar pieces?

- Chocolate : Sugar = 3 : 7

✔ Answer: 3:7

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5) At the burger shop the ratio of regular sodas sold to diet sodas sold was 7:1. For every ____ diet sodas sold there is ____ regular soda sold.

- Regular : Diet = 7:1
- So, for every 1 diet soda, there are 7 regular sodas

✔ Answer: 1 diet soda, 7 regular sodas

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6) At the malt shop the ratio of hotdogs sold to hamburgers sold was 7:5. For every ____ hamburgers sold there were ____ hotdogs sold.

- Hotdogs : Hamburgers = 7:5
- So, for every 5 hamburgers, there were 7 hotdogs

✔ Answer: 5 hamburgers, 7 hotdogs

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7) At the pet store the ratio of dogs to cats was 6:4. For every ____ cats there are ____ dogs.

- Dogs : Cats = 6:4 → This can be simplified to 3:2, but we'll keep it as given.
- So, for every 4 cats, there are 6 dogs

✔ Answer: 4 cats, 6 dogs

*(Note: You could simplify to 2 cats : 3 dogs, but since the question uses the original ratio, we use 4 and 6.)*

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8) For every 8 Wii games Sarah owned she had 4 PS3 games. What is her ratio of Wii games to PS3 games?

- Wii : PS3 = 8 : 4
- Simplify by dividing both by 4: 2 : 1

✔ Answer: 2:1

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9) The ratio of cars to trucks in a parking lot was 4:7. For every ____ cars there were ____ trucks.

- Cars : Trucks = 4:7
- So, for every 4 cars, there were 7 trucks

✔ Answer: 4 cars, 7 trucks

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10) At an ice cream shop the ratio of chocolate cones sold to vanilla cones sold was 1:2. For every ____ vanilla cone sold there were ____ chocolate cones sold.

- Chocolate : Vanilla = 1:2
- So, for every 2 vanilla cones, there was 1 chocolate cone

✔ Answer: 2 vanilla cones, 1 chocolate cone

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✔ Final Answers:

1) 5:1
2) 5 males, 2 females
3) 8 games, 9 rides
4) 3:7
5) 1 diet soda, 7 regular sodas
6) 5 hamburgers, 7 hotdogs
7) 4 cats, 6 dogs
8) 2:1
9) 4 cars, 7 trucks
10) 2 vanilla cones, 1 chocolate cone

Let me know if you'd like these written out in a formatted worksheet style!