SOLUTION: A student palyed a computer game 500 times and won 370 of these games.He then won the next x games and lost none.He has now won 75% of the games he has played.Find the value of x

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A student palyed a computer game 500 times and won 370 of these games.He then won the next x games and lost none.He has now won 75% of the games he has played.Find the value of x      Log On


   



Question 536730: A student palyed a computer game 500 times and won 370 of these games.He then won the next x games and lost none.He has now won 75% of the games he has played.Find the value of x
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The student played a total of 500+x games of which he won 370+x. This ratio is given as 75% or 0.75, so...
%28370%2Bx%29%2F%28500%2Bx%29+=+0.75 Cross-multiply.
370%2Bx+=+0.75%28500%2Bx%29
370%2Bx+=+375%2B0.75x Subtract 0.75x from both sides.
370%2B0.25x+=+375 Subtract 370 from both sides.
0.25x+=+5 Finally, divide both sides by 0.25
highlight%28x+=+20%29