MATH SOLVE

8 months ago

Q:
# Piper works at a camera store. He is paid an hourly rate +16% commission on everything he sells. One week, he was paid $515 for working 20 hours and sewing 1500 worth of camera quit meant. What is his hourly rate?

Accepted Solution

A:

His hourly rate is $13.75.

Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:

20x + 0.16(1500) = 515

20x + 240 = 515

Subtract 240 from both sides:

20x + 240 - 240 = 515 - 240

20x = 275

Divide both sides by 20:

20x/20 = 275/20

x = 13.75.

Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:

20x + 0.16(1500) = 515

20x + 240 = 515

Subtract 240 from both sides:

20x + 240 - 240 = 515 - 240

20x = 275

Divide both sides by 20:

20x/20 = 275/20

x = 13.75.