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Mars2501
2 months ago
8

There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in

dance class. Find
When two classes meet at different hours and 12 students are enrolled in both activities. ( 2marks)

When two classes meet at the same hour. ( 2 marks)​
Mathematics
1 answer:
zzz [12.3K]2 months ago
8 0

Answer:

a. 80 students

b. 92 students

Step-by-step explanation:

Designate arts students as A and dance students as D.

Thus, we have,[['[TAG_14]]

n(A) = 35

n(D) = 57

Required

To determine n(A or D)

For (a):

We find that:

n(A and D) = 12

The calculation for n(A or D) is as follows:

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 12

n(A or D) = 80

b. Given the details

n(A and D) = 0 since no students are enrolled in both classes as indicated in (a)

Using the same formula as in (a).

n(A or D) = n(A) + n(D) - n(A and D)

n(A or D) = 35 + 57 - 0

n(A or D) = 92

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Additional explanation

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