SOLUTION: At a recent Vikings game S445 in admission tickets was taken in. The cost of a student ticket was S1.50 and the cost of a non-student ticket was S2.50. A total of 232 tickets we

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a recent Vikings game S445 in admission tickets was taken in. The cost of a student ticket was S1.50 and the cost of a non-student ticket was S2.50. A total of 232 tickets we      Log On


   



Question 1198537: At a recent Vikings game S445 in admission tickets was taken in. The cost of
a student ticket was S1.50 and the cost of a non-student ticket was S2.50. A
total of 232 tickets were sold. How many students and how many non-
students attented the game?

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = number of students
232 - x = number of non-students

1.50x = revenue from the students only
2.50(232-x) = revenue from the non-students only
1.50x + 2.50(232-x) = total revenue
1.50x + 2.50(232-x) = 445

Let's solve for x
1.50x + 2.50(232-x) = 445
1.50x + 2.50(232)+2.50(-x) = 445
1.50x + 580 -2.50x = 445
-x + 580 = 445
-x = 445-580
-x = -135
x = 135
Then,
232-x = 232-135 = 97

Answers:
135 student tickets.
97 non-student tickets.