Question

A total of $4,500 was collected selling 1,200 tickets to an exhibition. The cost of each ticket was $4 for an adult and $3 for a child. Write a system of equations to represent this situation and find the number of adults and child.

Answer 1

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Answer 2

Explanation:

a and c are the numbers of adult tickets and child tickets, respectively.

a+c = 1,200

c = 1,200 - a

4a + 3c = 4,500

4a + 3(1,200-a) = 4,500

a + 3,600 = 4,500

a = 900

c = 1,200-a = 300

900 adult tickets and 300 child tickets