# Ratio, Proportion and Percentages Puzzle – Challenge 29

Looking for a math challenge to tease your brain? If so, then this math challenge is a perfect tool to improve your creative thinking!

## Challenge:

In a certain village, the ratio of adult men to adult women is 3 ∶ 5 and the ratio of adult women and children is 2 ∶ 7. What is the ratio of adults (men and women) and children?

**A-** 10 : 7

**B-** 7 : 10

**C-** 2 : 5

**D-** 16 : 35

**E-** 6 : 15

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The correct answer is D.

The ratio of men to women is 3 to 5 and the ratio of women to children is 2 to 7. First, let’s find the ratio of men to women to children. The ratio of 3 to 5 equals the ratio of 6 to 10. The ratio of 2 to 7 is the same as the ratio of 10 to 35.

Therefore, the ratio of men to women to children is 6: 10: 35.

Now, you can find the ratio of men and women to children.

6 + 10 to 35 or 16: 35.

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