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JAMB Mathematics 2017 Paper

Question : 29

Total: 44

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

₦ 35, 000
₦ 40,000
₦ 25,000
₦ 20,000

Validate

Solution:

Concept:

In a pie chart, each sector's amount is proportional to its angle compared to the total angle of

360^\circ

Explanation:

Let the angle for fertilizer be

x

The sum of all angles is

360^\circ

, so:

40^\circ + 50^\circ + 80^\circ + 70^\circ + 30^\circ + x = 360^\circ

This gives

270^\circ + x = 360^\circ

Therefore,

x = 90^\circ

Total farm allocation is

\text{₦}\,80,000

Amount for fertilizer

= \frac{90^\circ}{360^\circ} \times 80,000

= \frac{1}{4} \times 80,000 = \text{₦}\,20,000

Answer:

\text{₦}\,20,000

(Option D).

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