Question

Tickets to games of a local basketball

team cost $12 for students and $16
for adults. For one game, $3,700 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

A = 700/4 = 175 Adult

S = 250 - 175 = 75 Students

Explanation:

S*12 + 16*A = 3700

S+A=250

S=250-A ⇒ (250 - A)*12 +16*A = 3700

3000-12*A+16*A = 3700

4 A = 3700 - 3000

A = 700/4 = 175 Adult

S = 250 - 175 = 75 Students