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The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on...

Mathematics
JAMB 2018

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is ₦7200?

WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Explanation

Let the monthly expenditure angle for school fees is x, then that of housing will be 2x. Since the total angle in the circle is 360.

  Using 90 as the angle for transport

  So, x + 2x + 120 + 90 = 360

  3x + 210 = 3605

  3x = 360 - 210

  = 150

  x = \(\frac{150}{3}\) = 50

  So the angle for housing is 2x = 2 × 50

  = 100

  Amount spent on housing = \(\frac{100}{360}\) × 7200

  = ₦2000


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995