A basketball coach has won 65 percent of the 400 games she

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Tue Apr 30, 2019 12:58 am

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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]

Source: Veritas Prep

Source: Beat The GMAT — Problem Solving | Tue Apr 30, 2019 12:58 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Tue Apr 30, 2019 3:07 am

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

Total games = (400 games already played) + (100 additional games) = 500.
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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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Tue Apr 30, 2019 8:49 am

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.

$\frac{260 + w}{400 + 100} = \frac{70}{100}$

$\frac{260 + w}{500} = \frac{7}{10}$

$10(260 + w) = 3500$

$260 + w = 350$

$w = 90$

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Thu May 02, 2019 4:17 pm

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]

Source: Veritas Prep

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.

(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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