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

Last week her sales were $4500.

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`

`(7.25)/(100) * x=326.25`

`(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.