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BECE Mathematics 2013 Paper

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Question : 28

Total: 40

If 180 oranges were shared among Kwame and Ama in the ratio

7:5

, respectively, how many oranges did Ama receive?

45
60
75
$\\;\\; 90$

Solution:

The total ratios

=7+5=12

The total ratio represents the total oranges so you can use proportionality to calculate the oranges received by any of them.

Kwame:Ama

=7:5

Ama's ratio

=5

If

12=180

oranges

5 = \frac{180 \\; \text{ oranges } \\; x 5}{12} = 15 \times 5 = 75 \\; \text{ oranges }

Note: 12 divides itself once and 180, 15 times.

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