Question

So far a total of 48 tickets have been sold for the school play for a total revenue of $220. How many student tickets have been sold? Set up and solve a system of equations to solve the problem.

Adult = $7
Student=$3

Answer 1

Let x be the number of adult tickets and y be the number of student tickets.

From the first sentence we can set up both equations:

1) x + y = 48
2) 7x + 3y = 220

Rearrange #1 to isolate x:
x = 48 - y

Sub that into #2 and solve for y to get your answer:
7(48 - y) + 3y = 220
336 - 7y + 3y = 220
-4y = -116
y = 29

29 student tickets were sold.