Solve a system of equations to find the price of tickets

[isurrenderall]

The Johnson and Clark families went to the movies. The Johnson family bought 2 adult tickets and 3 child tickets which cost $20.50. The Clark family bought 3 adult tickets and 5 child tickets which cost $32.50. Solve a system of equations to find the price of an adult ticket and the price of a children’s ticket.
Let A be the cost of an adult ticket and C the cost of a child ticket.

 

[jonboy]

Hi isurrenderall!

The Johnson family bought 2 adult tickets and 3 child tickets which cost $20.50.
The Clark family bought 3 adult tickets and 5 child tickets which cost $32.50.
Solve a system of equations to find the price of an adult ticket and the price of a children’s ticket.
Let A be the cost of an adult ticket and C the cost of a child ticket.

\(\displaystyle \L \;2A\,+\,3C\,=\,20.5\)
\(\displaystyle \L \;3A\,+\,5C\,=\,32.5\)

Solve by using the addition method, elimination, substitution... whatever you know.