(((word problem)))) ---Winning percentage. In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total number of games, how many more games will they have to play, assuming they win only half of the remaining games?

Question

a_clan · Answer

(15+x)/(20+y)=(60/100).....(1)
and x=(y/2)  or y=2x...........(2)
Substitute (2) in (1)

gw2011 · Answer

They have to play 30 more games.  Here is how I solved it:

15+0.50x and 20+x  Where x=the number of additional games to be played

(15+0.50x)/(20+x)=0.60  Multiply both sides by (20+x) to eliminate denominator

15+0.50x=(0.60)(20+x)
15+0.50x=12+0.60x
15-12=0.60x-0.50x
3=0.10x  Rearranging this equation you get:

0.10x=3
x=30  This is the number of additional games to be played