Question

The drama club is having a bake sale selling cupcakes to raise money. They spend $32 on supplies and sell each cupcake for $5.

Let n represent the number of cupcakes they sell and m represent the money earned.

If the drama club sold 205 cupcakes, how much money did they earn? show all steps

Answer 1

1. Write the equation relating money earned m to number sold n:
m = 5n − 32 (sell each cupcake for $5, then subtract $32 spent on supplies)

2. Substitute n = 205:
m = 5(205) − 32

3. Multiply:
5(205) = 5·200 + 5·5 = 1000 + 25 = 1025

4. Subtract the cost:
m = 1025 − 32 = 993

They earned $993.