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BECE Mathematics 2013 Paper

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Question : 38

Total: 40

A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GH₵

45.00, what was the total amount shared?

GH₵ 18.00
GH₵ 27.50
GH₵ 75.00
GH₵ 112.50

Solution:

Concept:

Total amount is found by using the fractional value of Ato's share in the given ratio.

Explanation:

Total ratio parts

= 2 + 3 = 5

.

Ato's share corresponds to

3

parts.

Ato received GH₵45.00 for these

3

parts.

So, value of

1

part

= \frac{45.00}{3} = 15.00

.

Total amount

= 5

parts

= 5 \times 15.00 = 75.00

.

Therefore, the total amount shared was GH₵75.00.

Answer:

GH₵75.00

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