SOLUTION: In a basketball league the Falcons won 15 out of 20 games. If they win only half the time from now on, how many games will they have to pla in order towin 60% of the total games?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a basketball league the Falcons won 15 out of 20 games. If they win only half the time from now on, how many games will they have to pla in order towin 60% of the total games?       Log On


   



Question 158858: In a basketball league the Falcons won 15 out of 20 games. If they win only half the time from now on, how many games will they have to pla in order towin 60% of the total games?
What i have so far is 15 out of 20 games equals 75%.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
If they win 1/2 their games from now on they must lose one for every one they win.
Formula: wins/total games=%
let w=number of wins > 15
(15+w)/(20+2w)=.6
15+w=.6(20+2w) Multiply each side by 20+2w to eliminate the fraction.
15+w=12+1.2w
.2w=3
w=3/.2
=15
So they have to play 15*2=30 more games to have a 60% record.
.
Check:
(15+15)/(20+30)
=30/50
=.6
.
Ed