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.