2000 tickets were sold at the game. student tickets cost $10 and non student tickets cost $20. a total of $35000 was collected. how many of each type of ticket was sold

Lets x = # of student tickets
y =  = # of non-student tickets

x + y = 2,000 so x = 2,000 - y
10x + 20y = 35,000

substitute x = 2,000 - y into 10x + 20y = 35,000

10x + 20y = 35,000
10(2,000 - y) + 20y = 35,000
20,000 - 10y + 20y = 35,000
10y = 15,000
    y = 1,500

x = 2,000 - 1,500 
x = 500

answer
# of student tickets = 500
# of non-student tickets = 1,500

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