Question

the cost of a ticket to the circus if $23 for children and $48 for adults. on a certain day at the circus the attendance was 1,100 and the total gate revenue was $45,300. How many children and adults bought tickets?

Answer 1

Explanation:

Let adults = a and children = c,

(1) a + c = 1100

(2) 48a + 23c = 45300

From the (1) equation, a = 1100 - c

Then substitute a = 1100 - c into (2),

48(1100 - c) + 23c = 45300

52800 - 48c +23c = 45300

-25c = -7500

c = 300

Substitute c = 1500 into a = 1100 - c,

a = 1100 - 300

a = 800

Therefore, 800 adults and 300 children bought the tickets