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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:

Total angle at a point = 3600

∴ To get the angle occupied by fertilizer we have,

40 + 50 + 80 + 70 + 30 + fertilizer(x) = 360

270 + x = 360

x = 360 - 270

x = 90

Total amount allocated to the farm

= ₦ 80,000

∴Amount allocated to the fertilizer

\frac{\text{fertilizer (angle)} \times \text{Total amount}}{\text{total angle}}

\frac{90}{360}

× 80,000

= ₦20,000

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