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The Mathematics Club in a school held an open house on three afternoon

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The Mathematics Club in a school held an open house on three afternoon  [#permalink]

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New post 28 Nov 2019, 06:44
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The Mathematics Club in a school held an open house on three afternoons. 115, 75 and 110 students attended on the first, second and third afternoons respectively. 30 attended only on the first day, 35 on the first and second days. 70 attended the first and the third days and 35 attended on the second and third
days. How many attended on all the three days?
(A) 15
(B) 25
(C) 21
(D) 20
(E) 30

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Re: The Mathematics Club in a school held an open house on three afternoon  [#permalink]

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New post 29 Nov 2019, 20:01
Asad wrote:
The Mathematics Club in a school held an open house on three afternoons. 115, 75 and 110 students attended on the first, second and third afternoons respectively. 30 attended only on the first day, 35 on the first and second days. 70 attended the first and the third days and 35 attended on the second and third
days. How many attended on all the three days?
(A) 15
(B) 25
(C) 21
(D) 20
(E) 30



The students who attended on first day are 115.
There are 30 who attended on just the first day, 35 on 1st and 2nd and 70 on 1st and 3rd. If we total up the three there will be repetition in 35 and 70 as there will be certain number who attended on all three days and are common to 35 and 70.
So all three days = 30+35+70-115=135-115=20

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Re: The Mathematics Club in a school held an open house on three afternoon   [#permalink] 29 Nov 2019, 20:01
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The Mathematics Club in a school held an open house on three afternoon

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