Ratio Worksheets - Free Printable

Let’s solve each problem step by step. The goal is to find the missing values in the ratio tables and write the equivalent ratios.

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Problem 6: Boys : Girls

| Boys | 1 | ? |
|------|---|---|
| Girls| 5 | 10 |

We see that when Boys = 1, Girls = 5 → ratio is 1:5

To get from 5 girls to 10 girls, we multiply by 2 → so Boys must also be multiplied by 2 → 1 × 2 = 2

✔ Missing value: 2

Equivalent ratios: 1:5, 2:10

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Problem 7: Violins : Cellos

| Violins | 8 | 24 |
|---------|---|----|
| Cellos | 3 | ? |

Ratio: 8:3

To get from 8 violins to 24 violins, multiply by 3 → so Cellos = 3 × 3 = 9

✔ Missing value: 9

Equivalent ratios: 8:3, 24:9

*(Note: 24:9 can be simplified to 8:3 — same ratio)*

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Problem 8: Taxis : Buses

| Taxis | 6 | ? | 36 |
|-------|---|---|----|
| Buses | 5 | 15| ? |

First pair: 6:5

Second pair: Buses = 15 → since 5 × 3 = 15, then Taxis = 6 × 3 = 18

Third pair: Taxis = 36 → 6 × 6 = 36 → Buses = 5 × 6 = 30

✔ Missing values: 18 (Taxis), 30 (Buses)

Equivalent ratios: 6:5, 18:15, 36:30

*(All simplify to 6:5)*

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Problem 9: Burgers : Hot Dogs

| Burgers | 3 | ? | 9 |
|---------|---|---|---|
| Hot Dogs| 5 | 10| ? |

First pair: 3:5

Second pair: Hot Dogs = 10 → 5 × 2 = 10 → Burgers = 3 × 2 = 6

Third pair: Burgers = 9 → 3 × 3 = 9 → Hot Dogs = 5 × 3 = 15

✔ Missing values: 6 (Burgers), 15 (Hot Dogs)

Equivalent ratios: 3:5, 6:10, 9:15

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Problem 10: Towels : Blankets

| Towels | 14 | 7 | ? |
|----------|----|---|----|
| Blankets | 8 | ? | 16 |

First pair: 14:8 → simplify to 7:4

Second pair: Towels = 7 → half of 14 → Blankets = half of 8 = 4

Third pair: Blankets = 16 → 8 × 2 = 16 → Towels = 14 × 2 = 28

✔ Missing values: 4 (Blankets), 28 (Towels)

Equivalent ratios: 14:8, 7:4, 28:16

*(All reduce to 7:4)*

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Problem 11: Forks : Spoons

| Forks | 16 | 8 | ? |
|-------|----|---|----|
| Spoons| 10 | ? | 30 |

First pair: 16:10 → simplify to 8:5

Second pair: Forks = 8 → half of 16 → Spoons = half of 10 = 5

Third pair: Spoons = 30 → 10 × 3 = 30 → Forks = 16 × 3 = 48

✔ Missing values: 5 (Spoons), 48 (Forks)

Equivalent ratios: 16:10, 8:5, 48:30

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Problem 12: WORK - Pay Rate

> Your neighbor pays you $17 for every 2 hours you work.
> You work for 8 hours on Saturday. How much does your neighbor owe you?

This is a proportion problem.

Rate: $17 per 2 hours → So for 8 hours, how many “2-hour blocks” are there?

8 ÷ 2 = 4 blocks

So payment = 4 × $17 = $68

✔ Answer: $68

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## ✔ Final Answers Summary:

6. Missing: 2 → Ratios: 1:5, 2:10
7. Missing: 9 → Ratios: 8:3, 24:9
8. Missing: 18, 30 → Ratios: 6:5, 18:15, 36:30
9. Missing: 6, 15 → Ratios: 3:5, 6:10, 9:15
10. Missing: 4, 28 → Ratios: 14:8, 7:4, 28:16
11. Missing: 5, 48 → Ratios: 16:10, 8:5, 48:30
12. Payment owed: $68

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