Final answer:
Anne needs to sell a total of 19 cupcakes at $3 each to earn a total of $55 for the bake sale, considering the initial cost of $25 for supplies.
Step-by-step explanation:
Calculating Break-Even for Cake Pops
To determine how many cupcakes Anne needs to sell to earn a total of $55, we must consider the initial cost and the selling price per cupcake. Anne spends $25 on supplies and charges $3 per cupcake. The question at hand is calculating the break-even point and then determining the number of cupcakes required to achieve the desired profit.
Step-by-Step Analysis
- First, find out the break-even point, which is when Anne recovers her initial investment of $25. At $3 per cupcake, divide $25 by $3 to get approximately 8.33 cupcakes, which means she needs to sell at least 9 cupcakes to break even because you cannot sell a fraction of a cupcake.
- Next, calculate the total number of cupcakes needed to earn $55. Subtract the initial cost of $25 from the desired total earnings of $55, which gives you $30.
- Finally, divide $30 by the price per cupcake, which is $3. This results in 10 cupcakes. Therefore, Anne needs to sell 10 cupcakes at $3 each, in addition to the 9 needed to break even, totaling 19 cupcakes to earn a total of $55.