Question

The school production of Our Town' was a big success. For opening night, 453 tickets were sold. Students paid $1.50 each, while non-students paid $3.50 each. If a total of $949.50 was collected, how many students and how many non-students attended?

Answer 1

To find the number of students and non-students who attended the school production of 'Our Town', you can set up a system of equations. The number of students is 318 and the number of non-students is 135.

Step-by-step explanation:

To find the number of students and non-students who attended the school production, we can set up a system of equations. Let's say the number of students is 'S' and the number of non-students is 'N'. We know that 453 tickets were sold in total:

S + N = 453

We also know that the total amount collected was $949.50:

1.50S + 3.50N = 949.50

To solve this system of equations, we can use substitution or elimination. Let's use substitution. From the first equation, we can express S in terms of N:

S = 453 - N

Now substitute this value of S in the second equation:

1.50(453 - N) + 3.50N = 949.50

Simplify and solve:

679.50 - 1.50N + 3.50N = 949.50

2N = 270

N = 135

So, 135 non-students attended the production. Now substitute this value of N in the first equation:

S + 135 = 453

S = 453 - 135

S = 318

Therefore, 318 students attended the production.