Question

A cell phone distributor earns a yearly salary of $28,000 plus a 17.5% commission on sales. How do you find the total earnings for a year when the sales are $38,000?

Answer 1

The distributor earned `$34,460` in that year.

Explanation:

The key ot this problem is to use the `17.5%` percent commission to figure out how much money the distributor would make from sales alone.

A `17.5%` commission means that the distributor gets `$17.5` for every `$100` worth of sales.

This means that the sales alone would bring him

`38,000color(red)(cancel(color(black)("$ sales"))) * "$17.5"/(100color(red)(cancel(color(black)("$ sales")))) = $6,460`

If you take into account his salary, the distributor's total earnings will amount to

`"earnings" = $28,000 + $6,460 = color(green)($34,460)`