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

Divide the 1st equation by 2:
$a + 2c = 19$
Divide the 2nd equation by 3:
$a + c = 13.5$
Therefore, when we subtract the exact the 1st equation by the 2nd equation:
$c = 5.5$
Substituting back into the 2nd equation will give:
$a + 5.5 = 13.5 \\ a = 8$

Answer 2

Answer:

2nd question What does the solution (8,5.5) mean in the context of this problem? answer: An adult ticket costs $8, and a child ticket costs $5.50.

Step-by-step explanation: