Question

A movie theater sells tickets to a new show for $10 each. The theater also sells small containers of popcorn for $6 each. The theater needs to make $3000 in order to break even on the show.

7. Write a linear equation that describes the problem.

Answer 1

let t be tickets and p be popcorn

10t + 6p = 3000

This is how I believe it should be. . .

Answer 2

Let's let the variable t represent the amount of tickets for the new show that are sold and the variable p represent the amount of small containers of popcorn that are sold. Now, let's set up an equation.

We know that tickets cost $10 and popcorn costs $6, therefore these should be the coefficients in front of their respective variables. The two cost + item terms should equal $3000, because this is the breakeven on the show, or how much money they want to earn.

Thus, the equation is:

10t + 6p = 3000

Hope this helps!