Ahigh school play costs an up front $30,000 to produce, plus an additional cost of $1000 for each performance. every sold out performance of the play brings in $2500 of revenue to the school. how many sold out performances are needed so that the school breaks even on the production of the play

So based on the information here, it costs $3,000 up front but an additional $1,000 for each play and each sold out performance brings in $2,500

For the sake of simplicity, when solving it, I won't be putting the dollar sign

So the equation is the following:

3,000+1,000x=2,500x 

So you need to get "x" by itself

First, minus 1,000x from each side

So it is now 3,000=1,500x

Now you divide 3,000 by 1,500 which is 2

x=2

So that means two performances need to sell out in order to break even with the cost



To check:

$3,000+$1,000(2)=$2,500(2)

$1,000×2=$2,000 and $3,000+$2,000=$5,000

$5,000=$2,5000(2)

$2,500×2=$5,000

$5,000=$5,000