Question

Jefferson Middle School is selling tickets to a school play. On the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $55. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $50. Find the price of an adult ticket and the price of a child ticket. Let a = price of an adult ticket. Let c = price of a child's ticket.

Answer 1

Explanation:

4a + c = 55

3a + 2c = 50

Use -2 for top equation

-8a - 2c = -110

3a + 2c = 50

-5a = -60

a = $12 each adult

4(12) + c = 55

48 + c = 55

c = $7 each child