Ratio Word Problems Worksheet with five math questions on ratios.

Let's solve each of these ratio word problems step by step and explain the reasoning.

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Problem 1:

The ratio of the height of a father to the height of his son is 3:2. If the height of the son is 116 cm, find the height of the father.

#### Solution:
We are given:
- Ratio of father’s height : son’s height = 3:2
- Son’s height = 116 cm

Let the father’s height be $ x $ cm.

Since the ratio is 3:2, we can write:
$$
\frac{x}{116} = \frac{3}{2}
$$

Now solve for $ x $:
$$
x = \frac{3}{2} \times 116 = 174
$$

✔ Answer: The father’s height is 174 cm.

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Problem 2:

There are 20 cars in the parking area. If there are 80 wheels for the cars, what is the ratio of cars to wheels in the simplest form?

#### Solution:
- Number of cars = 20
- Number of wheels = 80

Ratio of cars to wheels = $ \frac{20}{80} $

Simplify:
$$
\frac{20}{80} = \frac{1}{4}
$$

✔ Answer: The ratio is 1:4

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Problem 3:

The ratio of girls to boys in a chess club was 5:4. There were 32 boys. How many girls were there in the club?

#### Solution:
Given:
- Ratio of girls : boys = 5:4
- Number of boys = 32

Let the number of girls be $ x $. We set up a proportion:
$$
\frac{x}{32} = \frac{5}{4}
$$

Solve for $ x $:
$$
x = \frac{5}{4} \times 32 = 40
$$

✔ Answer: There were 40 girls in the club.

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Problem 4:

On Friday morning, Mary received 120 e-mails and responded to 60 of them. What is the ratio of e-mails she received to the ones she answered? Give your answer in the simplest form.

#### Solution:
- E-mails received = 120
- E-mails answered = 60

Ratio of received to answered = $ \frac{120}{60} = 2 $

So, the ratio is 2:1

✔ Answer: The ratio is 2:1

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Problem 5:

A bakery offers 6 pastries for every 5 cookie packets. What is the number of pastries a person got if he bought 30 cookie packets?

#### Solution:
Given:
- 6 pastries → 5 cookie packets
- Find how many pastries for 30 cookie packets

Set up a proportion:
$$
\frac{6}{5} = \frac{x}{30}
$$

Solve for $ x $:
$$
x = \frac{6}{5} \times 30 = 36
$$

✔ Answer: The person got 36 pastries.

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✔ Final Answers:

1. 174 cm
2. 1:4
3. 40 girls
4. 2:1
5. 36 pastries

Let me know if you'd like these explained visually or with diagrams!