SOLUTION: At the highschool 1/2 the boys and 1/3 of the girls attend homecoming game. 1/3 of the boys and 1/2 of the girls attended the homecoming dance. There were 570 students at the gam

Question 131861: At the highschool 1/2 the boys and 1/3 of the girls attend homecoming game. 1/3 of the boys and 1/2 of the girls attended the homecoming dance. There were 570 students at the game and 580 students at the dance how many boys and girls attend the school.

Thanks for the help.
Answer by priya_2685(3) (Show Source): You can put this solution on YOUR website!
let the no. of boys be x and the no. of girls be y
so, according to problem
1/2^x+ 1/3^y=570.....(1)
1/3^x+1/2^y= 580.....(2)

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 0.333333333333333*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=720. Since , x=660.

Answer: .

therefore, no. of boys= x= 660
no. of girls= y= 720

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