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WAEC Mathematics 2016 Paper

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Question : 29

Total: 49

The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?

Le 2,250,000.00
Le 22,700,000.00
Le 3,600,000.00
Le 4,500,000.00

Solution:

Concept:

In a pie chart, the amount spent on an item is proportional to its sector angle.

Explanation:

The total sector angle around a point is

360^\circ

.

The given sector angles for the other expenses are

80^\circ

,

70^\circ

, and

90^\circ

.

Angle for food

= 360^\circ - (80^\circ + 70^\circ + 90^\circ) = 360^\circ - 240^\circ = 120^\circ

.

So the fraction of income spent on food is

\frac{120^\circ}{360^\circ} = \frac{1}{3}

.

Amount spent on food

= \frac{1}{3} \times \text{Le }10,800,000.00 = \text{Le }3,600,000.00

.

Answer:

Le 3,600,000.00 (Option C).

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