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Question 140751This question is from textbook Prentice Hall Mathmatics Pre-Algebra
: Please help me with this. I am really struggling on learning how to do this. Thank you soooo much in advance for all you do. Could you help me learn how to solve this problem?
Here is the problem:

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?

Thanks you again SOO very much! This question is from textbook Prentice Hall Mathmatics Pre-Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let s="student wins" and c="computer wins"

"A student playing a computer chess game gets 5 points every time he wins a round" __ 5s

"The computer gets 3 points every time it wins a round" __ 3c

"They play 64 rounds" __ s+c=64 __ s=64-c

"end with a tied score" __ 5s=3c

substituting __ 5(64-c)=3c __ 320-5c=3c __ 320=8c __ 40=c