Problema Solution

The cost of 8 adult's tickets and 7 children's tickets is $82.45. The cost of 4 adult's tickets and 9 children's tickets is $65.15. Find the cost of each adult's ticket and each child's ticket. In the answer box below enter the cost of each adult's ticket.

Answer provided by our tutors

let


x = the cost of each adult's ticket


y = the cost of each child's ticket


The cost of 8 adult's tickets and 7 children's tickets is $82.45:


8x + 7y = 82.45


The cost of 4 adult's tickets and 9 children's tickets is $65.15:


4x + 9y = 65.15


by solving the system of equations:


8x + 7y = 82.45


4x + 9y = 65.15


we find:


x = $6.50


y = $4.35


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the cost of each adult's ticket is $6.50.


the cost of each child's ticket is $4.35.