Question

Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

Answer 1

12x + 16y = 3700

x + y = 250

x = 75 students

y = 175 adults

Explanation:

y = 250 - x

12x + 16(250-x) = 3700

12x + 4000 - 16x = 3700

-4x = -300

x = 75

y = 250 - 75

y = 175