Set up the cost equation C(x) where x is the number of plates sold:

C(x) = Cost per plate * x plates

C(x) = 2x

Set up the revenue equation R(x) where x is the number of plates sold:

R(x) = Sales price per plate * x plates

C(x) = 8x

Set up the profit equation P(x) where x is the number of plates sold:

P(x) = R(x) - C(x)

P(x) = 8x - 2x

P(x) = 6x

We're told the profits P(x) for the fundraiser were $2,400, so we set 6x equal to 2400 and solve for x:

6x = 2400

To solve this equation for x, we type it in our math engine and we get:

x =

**400 plates**