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A local salesman receives a base salary of $925 monthly. He also receives a commission of 6% on all sales over $1700. How much would he have to sell in a month if he needed to have a monthly income of $2600?

Answer :

mathstudent55

Answer:

$29,616.67

Step-by-step explanation:

monthly salary = fixed part + commission part

The fixed part is $925.

The commission part is 6% on all sales over $1700.

Let x = amount of sales, and x must be greater than $1700.

Then, the amount of sales over $1700 is x - 1700.

He earns 6% on that amount, so the commission part is 6%(x - 1700),

or 0.06(x - 1700).

monthly salary = fixed part + commission part

monthly salary = 925 + 0.06(x - 1700)

925 + 0.06(x - 1700) = 2600

0.06(x - 1700) = 1675

0.06x - 102 = 1675

0.06x = 1777

x = 29,616.67

Answer: $29,616.67

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