In a school, the number of students who play Soccer is twice the numbe : Problem Solving (PS)

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In a school, the number of students who play Soccer is twice the numbe

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Math Expert

Joined: 02 Sep 2009

Posts: 50004

In a school, the number of students who play Soccer is twice the numbe [#permalink]

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04 Oct 2018, 00:11

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15% (low)

Question Stats:

95% (02:19) correct

5% (02:49) wrong

based on 19 sessions

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In a school, the number of students who play Soccer is twice the number of students who play Basketball. The number of students who play both the sports is twice the number of students who play only Basketball. If 5,000 students play both the sports, how many students play only against Soccer?

(A) 5500
(B) 8500
(C) 10000
(D) 12000
(E) 18500

Spoiler: OA

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Joined: 08 Jul 2010

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Re: In a school, the number of students who play Soccer is twice the numbe [#permalink]

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04 Oct 2018, 00:21

Bunuel wrote:

Soccer = 2* Basketball

Both = 2*Only Basketball

Both = 5000

i.e. Only Basketball = 5000/2 = 2500

Only Basketball + Both = Total basketball players

Basketball = 2500+5000 = 7500

i.e. Soccer = 2*7500 = 15000

Only Soccer = Soccer - Both = 15000 - 5000 = 10,000

Answer: Option C

P.S. Try solving this question using grid... Grid is the best way forward for this question.

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