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In order to qualify for the year-end tennis tournament, Sam must win a

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In order to qualify for the year-end tennis tournament, Sam must win a  [#permalink]

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New post 21 Aug 2018, 05:57
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Question Stats:

78% (01:27) correct 22% (01:59) wrong based on 56 sessions

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In order to qualify for the year-end tennis tournament, Sam must win at least 60 percent of his matches this year. Presently Sam has won 14 of his 18 matches. Of Sam`s 13 matches remaining in the year, what is the least number that he must win in order to qualify for the year-end tournament?

A. 4
B. 5
C. 6
D. 7
E. 8

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In order to qualify for the year-end tennis tournament, Sam must win a  [#permalink]

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New post 21 Aug 2018, 06:52
Total matches played by sam this year = 18 (already played) + 13(Remaining) = 31 Matches.
He has already won 14 of 18.
60% of 31 = 18.6 = almost equal to 19
So Sam must win 5 more matches.

B is the answer.
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In order to qualify for the year-end tennis tournament, Sam must win a  [#permalink]

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New post 21 Aug 2018, 07:16
Bunuel wrote:
In order to qualify for the year-end tennis tournament, Sam must win at least 60 percent of his matches this year. Presently Sam has won 14 of his 18 matches. Of Sam`s 13 matches remaining in the year, what is the least number that he must win in order to qualify for the year-end tournament?

A. 4
B. 5
C. 6
D. 7
E. 8

\(60\)% \(= \frac{3}{5}\)

Now, \(\frac{14 + x}{18 + 13} = \frac{3}{5}\)

Or, \(\frac{14 + x}{31} = \frac{3}{5}\)

Or, \(70 + 5x = 93\)

Or, \(x = \frac{23}{4}\)

So, \(x = 4.6\) , Answer must be (B) 5
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In order to qualify for the year-end tennis tournament, Sam must win a   [#permalink] 21 Aug 2018, 07:16
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