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?

Respuesta :

Answer:

More wins required = 59 wins

Step-by-step explanation:

Given:-

Total numbers of games played = 160.

Total games won = 50.

Total win percentage required = 68 %

Now,

Total percentage of games won = [tex]\frac{50}{160} \times 100[/tex]

Total percentage of games won = 0.312 [tex]\times[/tex]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 = [tex]\frac{Balance\ percentage\ of\ win\ required}{100} \times 160[/tex]

More wins required =[tex]\frac{36.75}{100}\times 160[/tex]

More wins required = 0.368 [tex]\times[/tex] 160

More wins required =58.88

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

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