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's ticket. Find

Algebra ->  Linear-equations -> 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's ticket. Find       Log On


   



Question 1086446: 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's ticket. Find the price of an adult's ticket and a child's ticket.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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's ticket. Find the price of an adult's ticket and a child's ticket.
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Equations:
c = a - 6
9a + 2c = 252
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Substitute and solve for "c":
9a + 2(a-6) = 252
9a + 2a - 12 = 252
11a = 264
a = $24 (price of adult ticket)
c = a-6 = $18 (price of child ticket)
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Cheers,
Stan H.
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