Question

461 tickets were sold. Students paid $3.50 each while non-students paid $5.50 each. If a total of $1867.50 was collected, how many students and how many non students attended?

Answer 1

The number of students attended was 334 and the number of non students attended was 127

Explanation:

Let

x ----> the number students attended

y ----> the number of non students attended

we know that

`x+y=461` ----> equation A

`3.50x+5.50y=1,867.50` ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (334,127)

see the attached figure

therefore

The number of students attended was 334 and the number of non students attended was 127