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BECE Mathematics 2022 Paper

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Question : 39

Total: 40

The ratio of farmers to children in a village is

13: 11

. If there were 312 farmers in the village, how many children were there?

264
143
48
169

Solution:

Concept:

The ratio

13:11

means the number of farmers and children are in the proportion

\frac{13}{11}

.

Explanation:

Let the number of children be

x

.

Farmers

= 312

.

So,

\frac{312}{x} = \frac{13}{11}

.

Cross multiply:

13 \times x = 312 \times 11

.

Divide both sides by 13:

x = \frac{312 \times 11}{13}

.

Since

\frac{312}{13} = 24

, we get:

x = 24 \times 11

.

Therefore,

x = 264

.

Answer:

There were

264

children.

Option A is correct.

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