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

Let x be the number of students tickets and y be the number of adult tickets,
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.