Question

Jon spent $322 on advertising to attract customers to his new pie shop. Each pie costs $11 to make, and Jon will sell them for $25 each. Which equation can you use to find p, the number of pies Jon must sell for his sales to equal his expenses?

a. 25p=322+11p
b. 322p=25p+11

Answer 1

Jon's break-even equation is the profit per pie multiplied by the number of pies (14p), set to equal the advertising costs ($322). Solving for p gives us the number of pies Jon needs to sell to break-even, which is 23 pies. The correct answer is option (a).

Step-by-step explanation:

The question is asking us to find the equation to determine the number of pies (p) Jon must sell at his pie shop to cover his expenses. To break-even, Jon's sales from pies must cover both the initial advertising cost and the cost of producing each pie. The cost of making each pie is $11, and he sells them for $25, so his profit on each pie is $25 - $11 = $14. Jon spent $322 on advertising, so we set up the equation by equating his total profit from pies to the advertising cost.

The break-even equation is:
14p = 322

Where p represents the number of pies Jon needs to sell to break-even. Divide both sides by 14 to solve for p:

p = 322 / 14

p = 23 pies

Therefore, Jon needs to sell at least 23 pies to cover his advertising costs and the cost of making the pies.