3 girls share a number of apples in the ration 5:3:2. If the highest share...

Mathematics

JAMB 2013

3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share

A. 36
B. 24
C. 16
D. 38

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Correct Answer: Option C

Explanation

The sum, S of ratio is S = 5 + 3 + 2 = 10.

But highest share = \(\frac{5}{10} \times T\), where T is the total number of apples.

Thus, \(40 = \frac{5}{10} \times T\),

given 40 x 10 = 5T,

\(T = \frac{40 \times 10}{5} = 80\)

Hence the smallest share = \(\frac{2}{10} \times 80\)

= 16 apples

There is an explanation video available below.

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