A film screening at a local film club costs $5 per ticket for members and $10 per ticket for non-members. The theater sold 300 t

Question

3 years ago

15

A film screening at a local film club costs $5 per ticket for members and $10 per ticket for non-members. The theater sold 300 t

ickets and collected $2,400.
This scenario can be represented by the system of equations {x+y=3005x+10y=2400.

What is the solution, if any, to this system of equations?

Mathematics

1 answer:

Otrada [13] · Answer 1 · 2022-06-20T22:19:10+03:00

Otrada [13]3 years ago

7 0

5x+10y=2400
Let
Y=300-x

5x+10(300-x)=2400
Solve for x
X=120 members

Y=300-120=180 nonmembers