If every performance sells out, how many performances are needed to break even?

Question

Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. if every performance sells out, how many performances are needed to break even?

Answer 1

Sierra, let's look at what we have. It looks to me like we have one equation with one variable. Let x = the number of performances.

 

The cost of doing 2 performances is the $88,000 base plus $5900 for each of 2 performances. We would write this out as $88,000 + $5900(2).

 

Since we are doing x performances, we instead write $88,000 + $5900x.

 

As far as for what performances make, 2 performances would earn $7500(2), right?  x performances would earn $7500x.

 

Now, we need what we earn to be equal to what we spent, so

 

88,000 + 5900x = 7500x

 

I bet you can solve it from here!