Question

Suppose your drama club is planning 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.

Answer 1

C = I

150p + 525 = 325p

525 = 175p

p = 3

Answer 2

3 sold out performances

Explanation:

Let p be the sold out performances.

drama club is planning a production that will cost $525 for the set and $150 per performance

So cost is
`150p +525`

A sold-out performance will bring in $325

So Income is
`325 p`

Now we make cost = income

`150p +525=325 p`

Subtract 150 p from both sides

`525=175 p`

Divide 175 on both sides

p=3

So 3 sold out performances