SOLUTION: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was 252. The cost of a child's ticket was $6 less than the cost of an adult ticket. Find the pric

Algebra ->  Finance -> SOLUTION: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was 252. The cost of a child's ticket was $6 less than the cost of an adult ticket. Find the pric      Log On


   

Question 960183: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was 252. The cost of a child's ticket was $6 less than the cost of an adult ticket. Find the price of an adults ticket , a child's ticket.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=cost for adult; C=cost for child=A-$6
9A+2C=$252 Substitute for C.
9A+2(A-$6)=$252
9A+2A-$12=$252 Add $12 to each side.
11A=$264 Divide each side by 11
A=$24 ANSWER 1:The price of an adult ticket was $24.
C=A-$6=$24-$6=$18 ANSWER 2: The price of a child's ticket was $18.
CHECK:
9A+2C=$252
9($24)+2($18)=$252
$216+$36=$252
$252=$252