# A school spent \$150 on advertising for a breakfast fundraiser. Each plate of food was sold for \$8.00

Discussion in 'Calculator Requests' started by math_celebrity, Mar 27, 2022.

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A school spent \$150 on advertising for a breakfast fundraiser. Each plate of food was sold for \$8.00 but cost the school \$2.00 to prepare. After all expenses were paid, the school raised \$2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?

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