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Edward received a paycheck in the amount of $788. He is an appliance salesman and has a base salary of $200 a week. If he sells $10,000 in appliances, he gets 4% commission. If he sells more than $10,000 worth he receives 6% for the additional sales. What was the total of Greenberg’s sales this past week?​

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Answer: The total is  $13,133.33

Step-by-step explanation:

We know that Edward's paycheck was $788

He has a base salary of $200, so the commission is:

$788 - $200 = $588

Now, we know that if he sells  $10,000, his commission is a 4%.

So let's suppose that he sold exactly $10,000

Then his commission is the 4% of $10,000, this is:

Commission = (4%/100%)*$10,000 = $400

This is not enough, so he sold more than $10,000 in this week.

There is:

$588 - $400 = $188 left.

We know that if sells more than $10,000, he gets a commission of the 6% for the extra sales.

Then let's suppose that the extra is N.

The extra $188 must be equal to the 6% of N, then we get:

$188 = (6%/100%)*N

$188 = 0.06*N

$188/0.06 = N

$3,133.33

This means that he sold $3,133.33 more than $10,000

Then, in total, he sold $10,000 +  $3,133.33 =  $13,133.33

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