Question

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?

2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______


a 8
c 5.5

Answer 1

Looks like you gave the answer already.

a = 8 and c = 5.5

Explanation:

2a + 4c = 38.00 --> x3 --> 6a + 12c = 144

3a + 3c = 40.50 --> x2 --> 6a + 6c = 81

6c = 33

c = 5.5

a = 8