Question

Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays

$37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with
his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the
system of equations that can be solved to find the price of an adult ticket, a, and
the price of a student ticket, y.

Answer 1

2a + 2s = 37.50

a + 3s = 35.25

-2a - 6s = -70.50

-4s = -33.00

s = 8.25

2a + 2(8.25) = 37.50

2a + 16.50 = 37.50

2a = 21.00

a = 10.50

The answer is one adult ticket costs $10.50 and one student ticket costs $8.25.