Question

The cost of a ticket to the circus is $23.00 for children and $47.00 for adults. on a certain day, attendance at the circus was 500 and the total gate revenue was $18,700. how many children and how many adults bought tickets?

Answer 1

200 children and 300 adults

Explanation:

No. of children = c

No. of adults = a

EQUATION 1: a + c = 500

EQUATION 2 : 23c + 47a = 18700

a = 500 - c

23c + 47(500 - c) = 18700

23c + 23500 - 47c = 18700

-24c = 18700 - 23500

-24c = -4800

-4800/-24 = c

c = 200

a = 500 - 200

a = 300