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# In a class of 120 students, 80 enrolled for a Mathematics seminar, 60

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Re: In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 [#permalink]
Given:
Total: 120,
Enrolled for Mathematics = 80,
Enrolled for Business Basics = 60
Enrolled for none = 12.

Its a venn diagram question.

Let those who enrolled only for Mathematics be a. Those who enrolled only for Business Basics be b. Those who enrolled for both be c.
=> a+b+c+12 = 120
=> Enrolled for Mathematics => a + c = 80
=> Enrolled for Business Basics => b + c = 60
Thus when we have 3 equations and 3 variables.
therefore, the value of a = 48, b = 28, c= 32.

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Re: In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 [#permalink]
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Re: In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 [#permalink]
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