SOLUTION: A chess champion played in a two-week tournament. At the end of the tournament she had lost four more matches than she had won. If she lost 60% of her matches, how many matches did

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A chess champion played in a two-week tournament. At the end of the tournament she had lost four more matches than she had won. If she lost 60% of her matches, how many matches did      Log On


   

Question 171083: A chess champion played in a two-week tournament. At the end of the tournament she had lost four more matches than she had won. If she lost 60% of her matches, how many matches did she play?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call w # of wins
and ......l # of losses
:
l=w+4--->l-w=4......eq 1
:
lets call Total matches (T)...we are given w=60%T and l=40%T
:
plug those values into eq 1
:
.6T-.4T=4
:
.2T=4
:
highlight%28T=20%29total matches