Problema Solution

Devon purchased tickets to an air show for 5 adults and 2 children. The total cost was $103. The cost of a child's ticket was $8 less than the cost of an adult's ticket. Find the price of an adults ticket and a child's ticket.

Answer provided by our tutors

Let


a = the cost of adult ticket

c = the cost of child ticket


5a + 2c = 103


The cost of a child's ticket was $8 less than the cost of an adult's ticket:


c = a - 8


by solving the system of equations


5a + 2c = 103

c = a - 8


we find


a = $17


c = $9


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the price of the adult ticket is $17.

the price of the child ticket is $9.