SOLUTION: Devon purchased tickets to an show for 9 adults and 2 chidren. the total cost was $160. the cost of a childs ticket was $8 less than the cost of an adults ticket. find the price

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Question 226047: Devon purchased tickets to an show for 9 adults and 2 chidren. the total cost was $160. the cost of a childs ticket was $8 less than the cost of an adults ticket. find the price of an adults ticket and a childs ticket
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
From the given information we can write:
9A%2B2C=160
C=A-8
Plug the second equation into the first:
9A%2B2%28A-8%29=160
Distribute the 2:
9A%2B2A-16=160
Combine like terms:
11A-16=160
Move the 16 over:
11A=176
Divide both sides by 11:
A=16
Plug this back into our second equation to find the price of the child ticket:
C=16-8
C=8