Ratio Tables Worksheets by Catch a Falling Star worksheets library - Free Printable

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

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6. Boys : Girls

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

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

When Girls = 10 (which is 5 × 2), then Boys should be 1 × 2 = 2

✔ Missing value: 2

Equivalent ratios:
1:5 = 2:10

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7. Violins : Cellos

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

Ratio: 8:3

24 is 8 × 3 → so Cellos = 3 × 3 = 9

✔ Missing value: 9

Equivalent ratios:
8:3 = 24:9

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8. Taxis : Buses

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

First, check ratio: 6:5

If Buses = 15 (which is 5 × 3), then Taxis = 6 × 3 = 18

If Taxis = 36 (6 × 6), then Buses = 5 × 6 = 30

✔ Missing values: 18 and 30

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

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9. Burgers : Hot Dogs

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

Ratio: 3:5

Hot Dogs = 10 → which is 5 × 2 → Burgers = 3 × 2 = 6

Burgers = 9 → 3 × 3 → Hot Dogs = 5 × 3 = 15

✔ Missing values: 6 and 15

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

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10. Towels : Blankets

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

Ratio: 14:8 → simplify by dividing by 2 → 7:4

So, if Towels = 7, Blankets = 4

If Blankets = 16 → which is 4 × 4 → Towels = 7 × 4 = 28

✔ Missing values: 4 and 28

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

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11. Forks : Spoons

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

Ratio: 16:10 → simplify by dividing by 2 → 8:5

So, if Forks = 8, Spoons = 5

If Spoons = 30 → which is 5 × 6 → Forks = 8 × 6 = 48

✔ Missing values: 5 and 48

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

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12. WORK Problem

> 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.

- For 2 hours → $17
- For 8 hours → ?

Since 8 hours is 4 times 2 hours → payment = 4 × $17 = $68

✔ Answer: $68

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## ✔ Final Answers:

6. Missing: 2 → Equivalent ratios: 1:5 = 2:10
7. Missing: 9 → Equivalent ratios: 8:3 = 24:9
8. Missing: 18, 30 → Equivalent ratios: 6:5 = 18:15 = 36:30
9. Missing: 6, 15 → Equivalent ratios: 3:5 = 6:10 = 9:15
10. Missing: 4, 28 → Equivalent ratios: 14:8 = 7:4 = 28:16
11. Missing: 5, 48 → Equivalent ratios: 16:10 = 8:5 = 48:30
12. Neighbor owes: $68

Let me know if you’d like these written out in table format too!