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Ver en español 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?

User Kcent
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Final answer:

To find the number of pies Jon must sell for his sales to equal his expenses, set up the equation: 11p = 25p - 322. Solve for p to find that Jon must sell approximately 23 pies.

Step-by-step explanation:

To find the number of pies Jon must sell for his sales to equal his expenses, we can set up an equation using the given information.

Let p represent the number of pies Jon must sell.

The cost to make each pie is $11. Therefore, the total cost of making p pies is 11p.

Jon sells each pie for $25. Therefore, the total revenue from selling p pies is 25p.

Since Jon's expenses equal his sales, the equation is:

11p = 25p - 322

To solve for p, we can subtract 25p from both sides of the equation:

-14p = -322

Then divide both sides by -14 to isolate p:

p = -322 / -14

Calculating the division results in p ≈ 23. In order for Jon's sales to equal his expenses, he must sell approximately 23 pies.