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In a class of 120 students, 80 enrolled for a Mathematics seminar, 60
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03 May 2021, 10:43
03 May 2021, 10:43
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In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 enrolled for Business Basics seminar, while 12 did not enroll for either of the 2 seminars. How many students enrolled for both the seminars?
A. 28
B. 32
C. 40
D. 48
E. 56
A. 28
B. 32
C. 40
D. 48
E. 56
Re: In a class of 120 students, 80 enrolled for a Mathematics seminar, 60
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03 May 2021, 11:14
03 May 2021, 11:14
Total 120 = 80 math + 60 business - both + 12 neither
120 = 80 + 60 - b + 12
-32 = -b
32 = b
120 = 80 + 60 - b + 12
-32 = -b
32 = b
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Re: In a class of 120 students, 80 enrolled for a Mathematics seminar, 60
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03 May 2021, 12:41
03 May 2021, 12:41
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Carcass wrote:
In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 enrolled for Business Basics seminar, while 12 did not enroll for either of the 2 seminars. How many students enrolled for both the seminars?
A. 28
B. 32
C. 40
D. 48
E. 56
A. 28
B. 32
C. 40
D. 48
E. 56
One approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of students, and the two characteristics are:
- took Math seminar or did not take Math seminar
- took Business Basics seminar or did not take Business Basics seminar
Add all of the information to our diagram to get the following:
Answer: B
Aside: We can also use Venn diagrams or a formula to solve overlapping sets questions. However, as difficulty levels increase, it becomes harder to apply those other approaches, whereas the Double Matrix Method works every time.
To learn more about the Double Matrix Method, watch this video:
