Question

Jamel works at a computer store. He is

paid an hourly rate plus a 15%
commission on all computer products he
sells. Last week, Jamel was paid $802.50
for working 30 hours and selling
$1,250.00 worth of computer products.
What is Jamel's hourly rate?
A. $20.50/hr
B. $26.75/hr
C. $33.00/hr
D. $37.65/hr

Answer 1

A: 20.50/hr

Explanation:

To find Jamel's hourly rate, we can set up an equation using the information given:

Let H be Jamel's hourly rate (in dollars per hour).

Let S be the total sales he made (in dollars).

We know the following:

Jamel was paid $802.50 in total.

He worked for 30 hours.

He sold $1,250.00 worth of computer products.

He receives a 15% commission on all computer products he sells.

His total earnings can be represented as:

Total Earnings = (Hourly Rate * Hours Worked) + Commission

We are given that his total earnings are $802.50, so we can write the equation as:

802.50 = (H * 30) + 0.15 * S

We also know that he sold $1,250.00 worth of computer products, so we can substitute S with 1250 in the equation:

802.50 = (H * 30) + 0.15 * 1250

Now, let's solve for H:

802.50 = 30H + 0.15 * 1250

802.50 = 30H + 187.50

Subtract 187.50 from both sides:

802.50 - 187.50 = 30H

615.00 = 30H

Now, divide by 30 to find H:

H = 615.00 / 30

H = 20.50

So, Jamel's hourly rate is $20.50/hr.

The answer is A. $20.50/hr.

Answer 2

A. $20.50/hr

Explanation:

Let x be Jamel's hourly rate (in dollars).

Given information:

• Total earnings = $802.50
• Hours worked = 30
• Commission = 15% of $1,250.00 = 0.15 × 1250

To find Jamel's hourly rate, we can set up an equation using the information provided:

`\begin{aligned}\textsf{Jamel's total earnings} &= \textsf{Hours worked} * \textsf{Hourly rate} + \textsf{Commission}\\\\802.50&=30 * x+0.15 * 1250\end{aligned}`

Solve for the hourly rate (x):

`\begin{aligned}802.50&=30 * x+0.15 * 1250\\\\802.50&=30x+187.5\\\\615&=30x\\\\30x&=615\\\\x&=20.5\end{aligned}`

Therefore, Jamel's hourly rate is $20.50/hr.