Question

Children and adults purchased tickets for a local amusement park.all tickets were sold at the park entrance-season passes,discount,atc.we’re not allowed.A child’s tickets cost $8 while an adult ticket cost $15.A total of 5,500 was collected.600 tickets were sold.how many of each type of ticket were sold?

Answer 1

x = number of children tickets sold = 500

y = number of adult tickets sold = 100

Explanation:

Let

x = number of children tickets sold

y = number of adult tickets sold

x + y = 600 (1)

8x + 15y = 5,500 (2)

From (2)

x = 600 - y

Substitute x = 600 - y into (2)

8x + 15y = 5,500 (2)

8(600 - y) + 15y = 5,500

4,800 - 8y + 15y = 5,500

- 8y + 15y = 5,500 - 4,800

7y = 700

y = 700/7

y = 100

Substitute y = 100 into (1)

x + y = 600 (1)

x + 100 = 600

x = 600 - 100

x = 500

x = number of children tickets sold = 500

y = number of adult tickets sold = 100