SOLUTION: In a school, the population of boys=1200 and the percentage of boys that paid school fee is 50%, the percentage of girls that paid is 40%. Given that the total percentage of studen

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a school, the population of boys=1200 and the percentage of boys that paid school fee is 50%, the percentage of girls that paid is 40%. Given that the total percentage of studen      Log On


   

Question 979106: In a school, the population of boys=1200 and the percentage of boys that paid school fee is 50%, the percentage of girls that paid is 40%. Given that the total percentage of students that paid is 46%. Find population of girls
Answer by KMST(5328) About Me  (Show Source):
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%220.50%25%22=50%2F100=0.5
%220.40%25%22=40%2F100=0.4
%220.46%25%22=46%2F100=0.46
1200= number of boys in the school
0.5%2A1200=600= number of boys that paid school fee
x= number of girls in the school
0.4%2Ax= number of girls that paid school fee
So,
1200%2Bx= number of students (boys and girls) in the school
0.46%2A%281200%2Bx%29= number of students that paid school fee
That must be what we get when we add
the number of boys that paid school fee, plus
the number of girls that paid school fee, so
0.46%2A%281200%2Bx%29=600%2B0.4%2Ax
0.46%2A1200%2B0.46%2Ax=600%2B0.4%2Ax
552%2B0.46%2Ax=600%2B0.4%2Ax
552%2B0.46%2Ax-0.4%2Ax-552=600%2B0.4%2Ax-0.4%2Ax-552
%280.46-0.4%29%2Ax=600-552
0.06%2Ax=48
x=48%2F0.06
highlight%28x=800%29