SOLUTION: Devon purchased tickets to an air show for 5 adults and 2 children. The total cost for Devon was $128. Peter purchased tickets to same air show for 3 adults and 4 children. Peter's

Algebra ->  Finance -> SOLUTION: Devon purchased tickets to an air show for 5 adults and 2 children. The total cost for Devon was $128. Peter purchased tickets to same air show for 3 adults and 4 children. Peter's      Log On


   

Question 1153850: Devon purchased tickets to an air show for 5 adults and 2 children. The total cost for Devon was $128. Peter purchased tickets to same air show for 3 adults and 4 children. Peter's total cost was $116. Find the price of an adult's ticket and a child's ticket. Use a system of linear equations.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


5a%2B2c+=+128
3a%2B4c+=+116

I will describe in words what I would do to solve this pair of equations; you can do the work to find the solution.

(1) double the first equation to find the cost of 10 adult tickets and 4 children's tickets.
(2) compare that to the second equation (algebraically, subtract one equation from the other) to find the cost of 7 adult tickets.
(3) use that result to find the cost of one adult ticket.
(4) use the cost of each adult ticket in either of the original equations to determine the cost of each children's ticket.