SOLUTION: the ratio of boys to girls in a school is 7:6. If the number of boys and girls in a school increases by 10 percent and 15 percent respectively in a year, the number of boys exceeds

Question 978287: the ratio of boys to girls in a school is 7:6. If the number of boys and girls in a school increases by 10 percent and 15 percent respectively in a year, the number of boys exceeds the number of girls by 120. How many students are there in the school?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the ratio of boys to girls in a school is 7:6.
let x = the multiplier
then
7x = original no. of boys
6x = original no. of girls
:
"If the number of boys and girls in a school increases by 10 percent and 15 percent respectively in a year, the number of boys exceeds the number of girls by 120.
1.1(7x) - 1.15(6x) = 120
7.7x - 6.9x = 120
.8x = 120
x = 150 is the multiplier
:
"How many students are there in the school?"
150(7) + 150(6) = 1950 students
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