2) A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.
The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.

Part A:
This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?



Part B:
The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

(If you guys submit any answers I would prefer that you show the steps of the problem if you want, Thank you for your time!!)

Respuesta :

Part A
Commission total = Commission 1+ Commission 2
Where
Commision 1 = 5% of first 45000
Commission 2 = 7.5% of the amount left after $5000 is subtracted
thus 
Commision 1 = $5000x.05
                      = $250

Commission 2= $3000 x.075
                        = $225
Commission total = $250+$225
                              = $475
The total commission she earned is $475ion

Part B.
Total sales = Sales with 5% commission+Sales with 7.5% commission
Sales with 5%commission= $5000
Commision At 7.5% = Total commision -Commission with 5%
                           =    $1375-$250
              Sales x.075=  $1125
              Sales with 7.5% commision = $15000
Total sales = $5000+$15000
Total sales = $20000
Total sales for commission of $1375 is $20000

A sale of $20000 would give a commission of $1375.

Equation

An equation is an expression that is used to show the relationship between two or more numbers and variables.

For a sale of $8000, the commission is:

Commission = (5% * 5000) + (7.5% * (8000 - 5000)) = $475

For commission of $1375:

1375 = (5% * 5000) + (7.5% * (x - 5000))

250 + 0.075x - 375 = 1375

x = $20000

A sale of $20000 would give a commission of $1375.

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