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In a school, the number of students who play Soccer is twice the numbe
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Bunuel
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In a school, the number of students who play Soccer is twice the numbe [#permalink] New post  03 Oct 2018, 23:11
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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
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Re: In a school, the number of students who play Soccer is twice the numbe [#permalink] New post  03 Oct 2018, 23:21
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Bunuel wrote:
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


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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Re: In a school, the number of students who play Soccer is twice the numbe [#permalink] New post  27 Aug 2020, 22:35
Given: 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.
Asked: If 5,000 students play both the sports, how many students play only against Soccer?


SoccerNo SoccerTotal
Basketball2y=5000y=2500x=3y=7500
No Basketball4y=10000
Total2x=6y=15000


IMO B
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ashu2503
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Re: In a school, the number of students who play Soccer is twice the numbe [#permalink] New post  07 Sep 2020, 06:47
Kinshook wrote:
Given: 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.
Asked: If 5,000 students play both the sports, how many students play only against Soccer?


SoccerNo SoccerTotal
Basketball2y=5000y=2500x=3y=7500
No Basketball4y=10000
Total2x=6y=15000


IMO B


Could you explain how you took 2y=5000?I didn't understand that part.
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