SOLUTION: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was $160. The cost of a childs ticket was $8 less than an adult ticket. Find the price a) an adul

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Question 159775: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was $160. The cost of a childs ticket was $8 less than an adult ticket. Find the price a) an adults ticket b) a childs ticket.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Total cost of tickets:
A%2BC=160 -------------------------------> EQN 1
Cost for each:
C=A-8 ---------------------------------> CONDTN 1
A=A
It follows via EQN 1: 9A%2B2C=160, subst. CONDTN 1
9A%2B2%28A-8%29=160 -------------------------> WORKING EQN
9A%2B2A-16=160
11A=160%2B16=176
11A=176 ----> cross%2811%29A%2Fcross%2811%29=cross%28176%2916%2Fcross%2811%29
A=16.00, cost per Adult ticket
And, C=16-8=8.00, cost per Child ticket
Go back WORKING EQN to check:
9%2A16%2B2%2816-8%29=160
144%2B2%2A8=160
144%2B16=160
160=160
Thank you,
Jojo