2006
Mathematics
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The pie chart above shows the expenditure of a family whose income is N30,000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on food?
A.
N 28 000
B.
N 25 500
C.
N15 000s
D.
N 12 500s
Correct Answer: N 12 500s
Explanation
Expenditure on housing = x Expenditure on food = 2x Expenditure on school fees = 90o Expenditure on transport = 45o x + 2x + 90 + 45 = 360o 3x + 135 = 360o 3x = 360 - 135 3x = 225 x = 225/3 = 75o ∴∠ for food = 2x = 2 * 75 = 150 360o = N30,000 1o = ? 1o = 30,000/360 150o = (30000/360) * (150/1) = N12500
Expenditure on housing = x Expenditure on food = 2x Expenditure on school fees = 90o Expenditure on transport = 45o x + 2x + 90 + 45 = 360o 3x + 135 = 360o 3x = 360 - 135 3x = 225 x = 225/3 = 75o ∴∠ for food = 2x = 2 * 75 = 150 360o = N30,000 1o = ? 1o = 30,000/360 150o = (30000/360) * (150/1) = N12500THIS WEEK's
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