SOLUTION: devon purchased tockets to an air show for 9 adults and 2 childeren. the total cost was 192 dollars. the cost of a child's ticket was 3 dollars less than the cost of an adult's tic

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Question 188065: devon purchased tockets to an air show for 9 adults and 2 childeren. the total cost was 192 dollars. the cost of a child's ticket was 3 dollars less than the cost of an adult's ticket. find the price of an adult's ticket and a child's ticket
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Devon purchased tickets to an air show for 9 adults and 2 children.
The total cost was 192 dollars.
The cost of a child's ticket was 3 dollars less than the cost of an adult's ticket.
Find the price of an adult's ticket and a child's ticket
:
Let x = cost of an adult ticket
then
(x-3) = cost of a child's ticket
;
9x + 2(x-3) = 192
:
9x + 2x - 6 = 192
11x = 192 + 6
11x = 198
x = 198%2F11
x = $18 for an adult ticket
then
18 - 3 = $15 for a child's ticket
;
;
Check:
9(18) + 2(15) = 192