Question

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while non students paid $6.00 each. If a total of $2032.00 was collected, how many students and how

many non students attended

The number of students was (Simplify your answer)

The number of non-students was (Simplify your answer)

Answer 1

286 students attended

148 non students attended

Explanation:

Given

`Tickets = 434`

`Students = \$4.00`

`Non-Students = \$6.00`

`Total = \$2032.00`

Solving (a): Number of students

Represent students with S and non students with N

So:

`S + N = 434` --- (1)

`4S + 6N = 2032` --- (2)

Make N the subject of formula in (1)

`N = 434 - S`

Substitute 434 - S for N in (2)

`4S +6(434 - S) = 2032`

Open Bracket

`4S + 2604 - 6S = 2032`

Collect Like Terms

`4S - 6S = 2032 - 2604`

`-2S = -572`

Divide through by -2

`S = 286`

Hence; 286 students attended

Solving (b):

Recall that

`N = 434 - S`

`N = 434 - 286`

`N = 148`

148 non students attended