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


Question

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

Options

A) 36

B) 24

C) 16

D) 38

The correct answer is 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

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Dicussion (1)

  • 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