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 =

Answer 1

a=8

c=5.5

Explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8