You are selling tickets for a basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of ticket did you sell?
+23254 Let S represent the number of student tickets sold.
Let G represent the number of general admission tickets sold.
Number of tickets equation: S + G = 350
Since each student ticket is worth $3 and each general adission ticket is worth $5
Value equation: 3G + 5G = 1450
Putting these two equations together:
3S + 5G = 1450 3G + 5G = 1450
S + G = 350 ---> multiply by -3 ---> -3G - 3G = -1050
Adding down the columns: 2G = 400 ---> G = 200
Since G = 200, S = 150
