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WAEC Mathematics 2021 Paper

Question : 42

Total: 49

4.50 \text{ and } \backslash

Solution:

Concept:

Set up two equations from the total tickets and total receipts, then solve for the number of adult tickets.

Explanation:

Let

a

be the number of adult tickets sold.

Let

c

be the number of children tickets sold.

Total tickets:

a + c = 500

, so

c = 500 - a

Total receipts:

4.50a + 3.00c = 1987.50

Substitute

c = 500 - a

4.50a + 3.00(500 - a) = 1987.50

4.50a + 1500 - 3.00a = 1987.50

1.50a = 1987.50 - 1500

1.50a = 487.50

a = \frac{487.50}{1.50} = 325

Answer:

Number of adult tickets sold was

325

Correct option: A. 325.

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