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# All of the 120 seniors in Coolidge High School are members of the che

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
All of the 120 seniors in Coolidge High School are members of the che  [#permalink]

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21 Feb 2018, 23:01
2
00:00

Difficulty:

15% (low)

Question Stats:

94% (00:54) correct 6% (01:30) wrong based on 51 sessions

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All of the 120 seniors in Coolidge High School are members of the chess club, the pep club, or both. If 90 seniors are in the pep club and 70 seniors are in the chess club, how many seniors are in both clubs?

(A) 10

(B) 20

(C) 30

(D) 40

(E) 50

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Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
Re: All of the 120 seniors in Coolidge High School are members of the che  [#permalink]

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21 Feb 2018, 23:39
Bunuel wrote:
All of the 120 seniors in Coolidge High School are members of the chess club, the pep club, or both. If 90 seniors are in the pep club and 70 seniors are in the chess club, how many seniors are in both clubs?

(A) 10

(B) 20

(C) 30

(D) 40

(E) 50

students = 120

pep = 90
chess= 70

both = pep + chess - students = 90+70 - 120 = 40

(D) imo
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Joined: 23 Sep 2016
Posts: 237
All of the 120 seniors in Coolidge High School are members of the che  [#permalink]

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23 Feb 2018, 00:11
Bunuel wrote:
All of the 120 seniors in Coolidge High School are members of the chess club, the pep club, or both. If 90 seniors are in the pep club and 70 seniors are in the chess club, how many seniors are in both clubs?

(A) 10

(B) 20

(C) 30

(D) 40

(E) 50

IMO D
table attached bellow
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Untitled.png [ 3.34 KiB | Viewed 391 times ]

All of the 120 seniors in Coolidge High School are members of the che   [#permalink] 23 Feb 2018, 00:11
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