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# 70% of students at a school joined the soccer club and 60% joined the

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
GPA: 3.82
70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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16 Jul 2018, 01:05
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:05) correct 36% (01:29) wrong based on 53 sessions

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[GMAT math practice question]

70% of students at a school joined the soccer club and 60% joined the baseball club. What percent of students joined both clubs?

1) 10% of students joined neither of the clubs.
2) 20 students joined both clubs

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Joined: 02 Aug 2009
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Re: 70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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16 Jul 2018, 01:15
70% of students at a school joined the soccer club and 60% joined the baseball club. What percent of students joined both clubs?
we do not know NEITHER

1) 10% of students joined neither of the clubs.
so total having either or both = 100-10=90
both = S+B-90=70+60-90=40
suff

2) 20 students joined both clubs
we do not how much is total, so cannot find %
insuff

A
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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: 70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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18 Jul 2018, 04:57
=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

For questions related to 2x2 matrices and percentages, we need 3 percentages for sufficiency. Since the original condition gives us 2 percentages, we need 1 additional percentage to solve the problem.

As condition 1) gives information about a percentage, it is sufficient.

As condition 2) does not give information about a percentage, it is not sufficient.

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Re: 70% of students at a school joined the soccer club and 60% joined the   [#permalink] 18 Jul 2018, 04:57
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