a student playing a computer chess game gets 5 points every time he wins a round.the computer gets 3 points every time it wins a round.they play 64 rounds and end with a tied score.how many rounds did the computer win.

Question

please help me ..
i think the answer is 8 because...
5+3=8
64/8=8
3*8=24
5*8=40
40+24=64
i don't know if that's the answer

Answer 1

let the number of your wins be x
then the number of computer wins is 64-x

5x = 3(64-x)
5x = 192 - 3x
8x = 192
x = 24

students wins 24 games, computer wins 40 games

test:
5x24 = 120
3x40 = 120