A family of 5 (2 adults & 3 children) go to the movies and they pay $27.75. The group of 5 behind them (3 adults & 2 children) pay 32.25. Figure the cost per adult and per child. Show your work.

A = cost per adult ticket

C = cost per child ticket

2A + 3C = 27.75 ......(1)

3A + 2C = 32.75 ......(2)

(1)-(2): -A + C = -5

==>C = A-5

2A + 3C = 2A + 3(A-5) = 27.75

A = $8.55

C = A-5 = $3.55

Answer: The cost per adult ticket is $8.55, and the cost per child ticket is $3.55.

## Comments

Sorry, this answer is wrong. You clearly know what you're doing, but the mistake is in the original setup of equation (2): The cost for 3 adults and 2 children is $32.25. not $32.75. Ralph L's answer is correct.