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JAMB Mathematics 2014 Paper

Question : 46

Total: 47

Solution:

Concept:

The amount spent on each item is proportional to its sector angle in the pie chart.

Explanation:

From the chart, rice has angle

80^\circ

The remaining given angles are

70^\circ

and

50^\circ

Therefore, yam angle

= 360^\circ - (80^\circ + 70^\circ + 50^\circ) = 160^\circ

Let the total salary be

T

Amount spent on rice:

\frac{80}{360}T = \text{N}8{,}000

So,

T = 8{,}000 \times \frac{360}{80} = \text{N}36{,}000

Amount spent on yam:

\frac{160}{360} \times 36{,}000 = \text{N}16{,}000

Answer:

C. N16,000

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