Question 194234: A charity obtains its income from various sources -advertising 30000$, donations x, fees 9000$, investments 3000$. sponsorship 10000$. A pie is drawn to illustrate the data.Given that the angle of the sector representing Donations was 204degrees, calculate (A) the total income
(b) the value of x, (C) the angle of each of the remaining sectors.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A charity obtains its income from various sources -advertising 30000$, donations x, fees 9000$, investments 3000$. sponsorship 10000$. A pie is drawn to illustrate the data.Given that the angle of the sector representing Donations was 204degrees, calculate
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If donations occupies 204 degrees, then advertising, fees, investments, and sponsorship occupy 156 degrees in a ratio of 9:3:10:3
9n + 3n + 10n +30n = 156
52n = 156
n = 3 degrees
Then 9n = 27 degrees (fees)
3n = 9 degrees (investments)
30n = 90 degrees (advertising)
10n = 30 degrees (sponsorship)
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Since x occupies 204 degrees, donations amounts to 204/3 = 68 degrees or 68000$
(A) the total income
(b) the value of x,
(C) the angle of each of the remaining sectors
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Cheers,
Stan H.
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