SOLUTION: In a school, 1200 of the students are boys. If 50% of the boys and 40% of the girls have paid their school fees, find the number of girls, given that 46% of the population has paid
Algebra.Com
Question 890584: In a school, 1200 of the students are boys. If 50% of the boys and 40% of the girls have paid their school fees, find the number of girls, given that 46% of the population has paid their school fees.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let b represent the number of boys.
let g represent the nmber of girls.
.5b + .4g = .46(b+g)
that's the equation you need to start with.
now you know that b = 1200, so replace b with 1200 to get:
.5(1200) + .4g = .46(1200+g)
simplify this to get 600 + .4g = 552 + .46g
subtract .4g from both sides of this equation and subtract 552 from both sides of this equation to get:
48 = .06g
solve for g to get:
g = 800
b + g now becomes 1200 + 800 = 2000
.5b + .4g becomes 600 + 320 = 920
920 / 2000 = .46
looks like we're good.
the answer to the question is that there are 800 girls in the school.
RELATED QUESTIONS
In a school,1200 of the students are boys,if 50% of the boys and 40% of the girls have... (answered by MathLover1,ewatrrr,greenestamps,ikleyn)
In a school, 1200 of the students are boys. If 50% of the boys and 40% of the girls have... (answered by flame8855)
In a schools 1200 of the studentare boys , if 50% of the boys are and 40% of the girl... (answered by ankor@dixie-net.com)
In a school, the population of boys=1200 and the percentage of boys that paid school fee... (answered by KMST)
In a school 720 are boys and 40% are girls, find the number of... (answered by Rosseta786)
. In a school 720 are boys and 40% are girls. Find the number of girls?
(answered by rfer)
If 70% of the students in a school are boys and the number of girls is 540,find the... (answered by Edwin McCravy,ptaylor)
a school has 1200 seniors. 60% are girls the rest are boys. 70% of the girls in class... (answered by randyjoseph7)
In a school 3 /8 students are boys and 850 are girls. Find the number of boys
(answered by Fombitz)