Question

The St. Louis Cardinals play 160 games in a season. So far, they have won 50 games. How many more games must they win in order to win at least 68% of all games for the season?

Answer 1

More wins required = 59 wins

Explanation:

Given:-

Total numbers of games played = 160.

Total games won = 50.

Total win percentage required = 68 %

Now,

Total percentage of games won =
`(50)/(160) * 100`

Total percentage of games won = 0.312
`*`100

Total percentage of games won =31.25% ------------(equation 1)

Balance percentage of wins required = total win percentage required - total percentage of games won

Balance percentage of wins required = 68 - 31.25 -----(from equation 1)

Balance percentage of wins required = 36.75%

More wins required =
`(Balance\ percentage\ of\ win\ required)/(100) * 160`

More wins required =
`(36.75)/(100)* 160`

More wins required = 0.368
`*` 160

More wins required =58.88

More wins required = 59 wins --------------(rounded value)