Ratio Word Problems Worksheets - Math Monks - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1:

The ratio of father’s height to son’s height is 3:2.
Son’s height = 116 cm.

That means for every 2 parts the son has, the father has 3 parts.

So, 2 parts = 116 cm → 1 part = 116 ÷ 2 = 58 cm

Then father’s height = 3 parts = 3 × 58 = 174 cm

✔ Check: 174 : 116 → divide both by 58 → 3:2 ✔️

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Problem 2:

There are 20 cars and 80 wheels.

Ratio of cars to wheels = 20 : 80

Simplify by dividing both by 20 → 1 : 4

✔ So simplest form is 1:4

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Problem 3:

Ratio of girls to boys = 5:4
Number of boys = 32

So 4 parts = 32 → 1 part = 32 ÷ 4 = 8

Girls = 5 parts = 5 × 8 = 40

✔ Check: 40:32 → divide by 8 → 5:4 ✔️

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Problem 4:

Mary received 120 emails, answered 60.

Ratio of received to answered = 120 : 60

Divide both by 60 → 2 : 1

✔ Simplest form is 2:1

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Problem 5:

Bakery gives 6 pastries for every 5 cookie packets.

Person bought 30 cookie packets.

How many sets of 5 cookie packets in 30? → 30 ÷ 5 = 6 sets

Each set gives 6 pastries → 6 × 6 = 36 pastries

✔ Check: 5 cookie packets → 6 pastries
30 cookie packets → (30/5)×6 = 6×6 = 36 ✔️

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Final Answer:
1. 174 cm
2. 1:4
3. 40
4. 2:1
5. 36