Question

Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $775 per week. What were her sales last week if her total earnings for the week were $1,171.00?

Answer 1

The number of sales of items made by Danielle last week is 4812.

Explanation:

Given as :

The percentage of commission Danielle earn on each sale = 8.25%

The basic salary of Danielle = $775 per week

The Total earning for the week = $1,172.00

Let The number of sales of items made by Danielle last week = n

Now, According to question

The Total earning for the week = The basic salary of Danielle + The percentage of commission Danielle earn on each sale × The number of sales of items

or, $775 per week + 8.25% × n = $1,172.00

or, 8.25% × n = $1,172.00 - $775

or, 8.25% × n = $397

or,
`(8.25)/(100)` × n = $397

or, n =
`(397* 100)/(8.25)`

or, n =
`(397* 10000)/(825)`

or , n = 4812.12 ≈ 4812

so ,The number of sales of items made by Danielle last week = n = 4812

Hence The number of sales of items made by Danielle last week is 4812. Answer