Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,285 was collected on the

sale of 1,025 tickets. How many of each type of ticket were sold?

Answer 1

315 adults and 710 students

Explanation:

x: no. of adults

y: no. of students

x + y = 1025

y = 1025 - x

5x + y = 2285

5x + 1025 - x = 2285

4x = 1260

x = 315

y = 1025 - 315 = 710

Answer 2

X=student tickets, y=adult tickets
x+y=1025
x+5y=2285
This system of equations can be solved through substitution.
x=1025-y
(1025-y)+5y=2285
4y=1260
y=315
So, 315 adult tickets were sold.
315+x=1025
x=710
Therefore, 710 student tickets and 315 adult tickets were sold.