SOLUTION: The drama club is putting on a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Write an equation for the cost C, a

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Question 917987: The drama club is putting on a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Write an equation for the cost C, and an equation for the income I for p sold-out performances. Find how many sold-out performances will make the cost equal to the income, the break-even point.

Can some one hell me please I have tried to work this problem out and I keep getting stuck.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

you want to make the costs equal to the income
so, the basic equality is:
Cost+%2A+Performances+=+Income+%2A+Performances
$Cost+=525 one-time expense + $150%2AP
or Cost+=150%2AP%2B525
Income+=325%2AP
Therefore,
150%2AP%2B525=325%2AP
525=325%2AP-150%2AP
525=175%2AP
525%2F175=P
3=P
Three sold-out performances will be needed for the costs to equal the income.