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In a survey of 100 students who had studied abroad, 60 had studied in

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In a survey of 100 students who had studied abroad, 60 had studied in  [#permalink]

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New post 20 Oct 2018, 09:30
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A
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Difficulty:

  35% (medium)

Question Stats:

77% (02:13) correct 23% (02:06) wrong based on 22 sessions

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In a survey of 100 students who had studied abroad, 60 had studied in Australia, 70 had studied in Europe, and 20 studied in neither Europe nor Australia. If 60% of the students who had studied ONLY in Australia had wanted to study in Europe and 40% of the students who had studied ONLY in Europe had wanted to study in Australia, how many students had NOT studied abroad in the location they wanted?

A) 14
B) 16
C) 20
D) 24
E) 28

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Re: In a survey of 100 students who had studied abroad, 60 had studied in  [#permalink]

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New post 20 Oct 2018, 09:37
A.

100 = 60 + 70 - Both + 20. 50 studied both.

60% of 10 (australia) = 6
40% of 20 (europe) = 8

total 14 did not study where they wanted.
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Re: In a survey of 100 students who had studied abroad, 60 had studied in  [#permalink]

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New post 20 Oct 2018, 09:40
In a survey of 100 students who had studied abroad, 60 had studied in Australia, 70 had studied in Europe, and 20 studied in neither Europe nor Australia. If 60% of the students who had studied ONLY in Australia had wanted to study in Europe and 40% of the students who had studied ONLY in Europe had wanted to study in Australia, how many students had NOT studied abroad in the location they wanted?

A) 14
B) 16
C) 20
D) 24
E) 28


Lets say those who study common in Australia and Europe = x
those who study either in Australia, Europe or both = 100- 20 =80
those who study only in australia = 60- x (common)
those who study only in Europe = 70- x (common)
so 60-x+70-x= 80(total studied in both places)
hence x= 50

Now 60%(60-x) +40%(70-x)
= 36 +28-100%*x
=64-50= 14
hence A is the answer
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Re: In a survey of 100 students who had studied abroad, 60 had studied in  [#permalink]

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New post 20 Oct 2018, 09:45
A is the answer. Details please see enclosed

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Re: In a survey of 100 students who had studied abroad, 60 had studied in &nbs [#permalink] 20 Oct 2018, 09:45
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In a survey of 100 students who had studied abroad, 60 had studied in

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