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BECE Mathematics 2011 Paper

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Question : 28

Total: 40

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GH₵ 9.00, how much did they share?

GH₵ 16.20
GH₵ 36.00
GH₵45.00
GH₵ 81.00

Solution:

Concept:

Ratios divide a total amount into equal parts. Find the value of one part first.

Explanation:

Kwame and Ama shared the money in the ratio

5:4

.

So Kwame receives

5

equal parts.

Kwame got

\text{GH₵}9.00

.

Value of

1

part

= \frac{\text{GH₵}9.00}{5} = \text{GH₵}1.80

.

Total number of parts

= 5 + 4 = 9

.

Total amount shared

= 9 \times \text{GH₵}1.80 = \text{GH₵}16.20

.

Answer:

A. GH₵ 16.20

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