A local theater charges $2.25 for general admission and $3.50 for box office seats. For a
certain performance, 165 tickets were sold, which brought in a total of $482.50. How man
of each type of ticket were sold?

Question

A local theater charges $2.25 for general admission and $3.50 for box office seats.  For a 
certain performance, 165 tickets were sold, which brought in a total of $482.50.  How man
of each type of ticket were sold?

anonymous · Answer

$$2.25x +3.50y = 482.50$$
$$x+y=165$$

anonymous · Answer

I appreciate that but could you go farther into detail?

anonymous · Answer

@VeritasVosLiberabit

anonymous · Answer

Solve the second equation for y and replace y in the first equation with the result.
You can then solve the first equation for x.

anonymous · Answer

What robtobey said. x represents the number of general admission tickets and y represents  the number of box office seats. If you can form 2 equations with the information presented, there should be a single solution to each variable (x and y) that is true for both equations.

anonymous · Answer

@VeritasVosLiberabit oh ok thank you!