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