Rational Modeling

Question

A baseball team has won 32 out of 56 games played, giving them a win/loss ratio of 32/56, or approximately 0.571. In order to qualify for a national competition, the team must raise their W/L game? Now let's be realistic and say that they must raise W/L ratio to 0.600, but they only win 70% of the upcoming games. How many games must they now win in order to bring their W/L up to the required mark?

Answer 1

(32+x)/(56+x) = 6/10 = 3/5

5(32+x) = 3(56+x)

160 +5x = 168 +3x

2x = 8

x = 4 games

win 4 more games and they qualify