Question

At a high school basketball game, 200 tickets were sold to spectators. The total amount of money collected was 667 dollars. Student tickets cost 2 dollars each, and non-student tickets cost 5 dollars each. Determine how many of the tickets sold were for students and how many were for non-students.

Answer 1

89 non student tickets were sold.

Explanation:

2x+5y=667

x+y=200

y=-x+200

2x+5(-x+200)=667

2x-5x+1000=667

-3x+1000=667

-3x=-333

x=111

200-111=89

check your work

111+89= 200

2(111)+5(89)=667