A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

1. How much money will they collect for selling x floor tickets?

2. How much money will they collect for selling y balcony tickets?

We know that x is the number of floor tickets they sell, and each one costs $15, then the amount of money they will get by those sells is x times $15, this is:

x*$15.

And y is the number of balcony tickets they sold, each one of these costs $12, then the total amount of money made in those tickets is:

y*$12.

Then the total amount of money that the band made is:

x*$15 + y*$12

And they want to make, at least, $3,000, then we will have the inequality:

x*$15 + y*$12 ≥ $3000

That can´t really be solved, because we have two variables and only one inequality, but this represents the given situation.

you forgot an image

step-by-step explanation: