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# At a certain high school, 2/3 of the students play on sports teams. Of

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Math Expert
Joined: 02 Sep 2009
Posts: 55801
At a certain high school, 2/3 of the students play on sports teams. Of  [#permalink]

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08 Jan 2019, 01:03
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:51) correct 4% (00:00) wrong based on 29 sessions

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At a certain high school, 2/3 of the students play on sports teams. Of the students who play sports, 1/4 play on the football team. If there are a total of 240 students in the high school, how many students play on the football team?

A. 180
B. 160
C. 80
D. 60
E. 40

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At a certain high school, 2/3 of the students play on sports teams. Of  [#permalink]

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Updated on: 09 Jan 2019, 00:48
Bunuel wrote:
At a certain high school, 2/3 of the students play on sports teams. Of the students who play sports, 1/4 play on the football team. If there are a total of 240 students in the high school, how many students play on the football team?

A. 180
B. 160
C. 80
D. 60
E. 40

IMO E 40

solved using 2x2 matrix
Attachments

File comment: 2x2
ufo.xlsx [30.44 KiB]

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Originally posted by Archit3110 on 08 Jan 2019, 02:35.
Last edited by Archit3110 on 09 Jan 2019, 00:48, edited 1 time in total.
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Re: At a certain high school, 2/3 of the students play on sports teams. Of  [#permalink]

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08 Jan 2019, 09:23
Total no. of students= 240
Play sports= (2/3)*240= 160
out of 160, play football= (1/4)*160=40

Hence, E
Re: At a certain high school, 2/3 of the students play on sports teams. Of   [#permalink] 08 Jan 2019, 09:23
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