Question

john sells cupcakes. he has been offered a salary position at two different companies to make and sell his cupcakes. the first company offered him a weekly salary of $665.00 plus a commission of $0.40 for each cupcake he sells. the second company offered him a weekly salary of $282.50 plus a commission of $1.30 for each cupcake he sells. how many cupcakes must john sell each week for the total pay from each company to be the same?

Explanation:

Step1: Define variable

Let \( x \) be the number of cupcakes John sells each week.

Step2: Write pay equations

First company's pay: \( 665 + 0.40x \)
Second company's pay: \( 282.50 + 1.30x \)

Step3: Set equal and solve

\( 665 + 0.40x = 282.50 + 1.30x \)
Subtract \( 0.40x \) from both sides: \( 665 = 282.50 + 0.90x \)
Subtract \( 282.50 \) from both sides: \( 382.50 = 0.90x \)
Divide by \( 0.90 \): \( x = \frac{382.50}{0.90} = 425 \)

Answer:

425