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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] New post   21 Oct 2022, 08:17
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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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B
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Re: In order to qualify for the year-end tennis tournament, Sam must win a [#permalink] New post   25 Oct 2022, 01:01
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Given that 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. And we need to find 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

Sam must win at least 60% of the total matches to qualify.

=> Matches won > 60% of (18 + 13)
=> 14 (Currently won out of 18) + x (number of matches won out of remaining 13) > 0.6*31
=> x > 18.6 - 14
=> x > 4.6
=> x should be Minimum 5

So, Answer will be B
Hope it helps!

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Re: In order to qualify for the year-end tennis tournament, Sam must win a [#permalink]
25 Oct 2022, 01:01
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