Question

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $750 per week. What were her sales last week if her total earnings for the week were $1,076.25?

Answer 1

Answer:

Last week her sales were $4500.

Step-by-step explanation:

Given:

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works.

She also earns a base salary of $750 per week.

Her total earnings for the week were $1,076.25.

Now, to find her sales last week.

Let the sales of last week be $x.$

Base salary = $750.

Total earnings = $1076.25.

So, we deduct the base salary from the total earnings first:

$1076.25-750$

$=326.25.$

Thus, the rest of the earnings is $326.25 which is the 7.25% commission on sales.

Now, to get the sales of last week we put an equation:

$7.25\%\ of\ x=326.25$

$\frac{7.25}{100} \times x=326.25$

$\frac{7.25x}{100} =326.25$

Multiplying both sides by 100 we get:

$7.25x=32625$

Dividing both sides by 7.25 we get:

$x=4500.$

The sales of last week = $4500.

Therefore, last week her sales were $4500.