A basketball coach has won 65 percent of the 400 games she has coached in her career. If she will coach 100 more games before retirement, how many must she win to raise her winning percentage to 70 percent?
A. 50
B. 65
C. 75
D. 90
E. 100
[spoiler]OA=D[/spoiler]
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A basketball coach has won 65 percent of the 400 games she
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Total games = (400 games already played) + (100 additional games) = 500.M7MBA wrote:A basketball coach has won 65 percent of the 400 games she has coached in her career. If she will coach 100 more games before retirement, how many must she win to raise her winning percentage to 70 percent?
A. 50
B. 65
C. 75
D. 90
E. 100
Required number of wins = 70% of 500 = 350.
Current number of wins = 65% of 400 = 260.
Additional wins needed = 350-260 = 90.
The correct answer is D.
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We are given that a coach won 0.65 x 400 = 260 games in her career. She is coaching 100 more games and we need to determine how many she must win to have a winning percentage of 70 percent. We can let w = the number of remaining games she must win.
\(\frac{260 + w}{400 + 100} = \frac{70}{100}\)
\(\frac{260 + w}{500} = \frac{7}{10}\)
\(10(260 + w) = 3500\)
\(260 + w = 350\)
\(w = 90\)
\(\frac{260 + w}{400 + 100} = \frac{70}{100}\)
\(\frac{260 + w}{500} = \frac{7}{10}\)
\(10(260 + w) = 3500\)
\(260 + w = 350\)
\(w = 90\)
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We are given that a coach has won 0.65 x 400 = 260 games in her career. She is coaching 100 more games, and we need to determine how many she must win to have a winning percentage of 70 percent. We can let w = the number of remaining games she must win.M7MBA wrote:A basketball coach has won 65 percent of the 400 games she has coached in her career. If she will coach 100 more games before retirement, how many must she win to raise her winning percentage to 70 percent?
A. 50
B. 65
C. 75
D. 90
E. 100
[spoiler]OA=D[/spoiler]
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(260 + w)/(400 + 100) = 70/100
(260 + w)/500 = 7/10
10(260 + w) = 3500
260 + w = 350
w = 90
Answer: D
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