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BECE Mathematics 2012 Paper

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Question : 21

Total: 40

Kojo is

20\%

heavier than Afua. If Kojo weighs 6 kg , what is Afua's weight?

$\;4.8\;\mathrm{kg}$
$\;5.0\;\mathrm{kg}$
$\;6.0\;\mathrm{kg}$
$\;7.2\;\mathrm{kg}$

Solution:

Concept:

If Kojo is

20\%

heavier than Afua, then Kojo's weight equals

120\%

of Afua's weight.

Explanation:

Let Afua's weight be

x

kg.

Kojo's weight is

100\% + 20\% = 120\%

of Afua's weight.

So,

120\%

of

x = 6

kg.

Write this as

\frac{120}{100}x = 6

.

Simplify:

1.2x = 6

.

Divide both sides by

1.2

:

x = \frac{6}{1.2} = 5

.

Therefore, Afua's weight is

5.0

kg.

Answer:

B.

\;5.0\;\mathrm{kg}

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