Write an equation to model this situation

Question

Movie tickets for children cost $9 and tickets for adults cost $12. On a certain day a theater makes $150 in ticket sales write an equation to model the situation be sure to identify what your variables represent

Answer 1

The situation here is that the movie theater made $150 - sounds like a struggling business.

Based on the question, you know that the theater makes money by selling tickets to children and adults. So you could model this as:

$150 = $9 * (# of children tickets sold) + $12 * (# of adult tickets sold)

Let me know if that equation above doesn't make sense.

Writing that equation over and over again takes a lot of time, so we can instead shorten it to:

150 = 9x + 12y

Where x and y represent the number of tickets sold to children and adults, respectively