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Question 997859: In a schools 1200 of the studentare boys , if 50% of the boys are and 40% of the girl have paid their school fees, find the number of the girls,giving that 46% of he population hs paid theirs school fess.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In a schools 1200 of the student are boys.
if 50% of the boys and 40% of the girl have paid their school fees, find the number of the girls, given that 46% of the population have paid their school fees.
:
From the above information, we know that 600 boys have paid their fees [.5(1200)]
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let g = the number of girls
:
Percent paid = girls paid + boys paid
.46(g+1200) = .40g + 600
.46g + 552 = .40g + 600
.46g - .40g = 600 - 552
.06g = 48
g = 48/.06
g = 800 girls
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;
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Confirm this, 1200 + 800 = 2000 students
.46(2000) = 920 students paid
:
.40(800) = 320 girls paid
.50(1200) = 600 boys paid
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total paid: 920
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