Question

Dabney Washington is paid a weekly commission of 3.5% on sales of $6,500 or less, and 5.5% on sales in excess of $6,500. Last week, Dabney's commission was $950. What was the total of her sales for the week?

Answer 1

The answer is $19,636.36

Answer 2

$19636.36.

Explanation:

We are told that Dabney Washington is paid a weekly commission of 3.5% on sales of $6,500 or less.

Let us find 3.5% of 6500.

`3.5\%\text{ of } 6500=(3.5)/(100)* 6500`

`3.5\%\text{ of } 6500=3.5* 65`

`3.5\%\text{ of } 6500=227.5`

We are told that she gets 5.5% on sales in excess of $6,500 and last week Dabney's commission was $950. So let us subtract 227.5 from 950 to get the amount of commission, which Dabney got on sales in excess of 6500.

`950-227.5=722.5`

Now let us find the amount (x) such that 5.5% of that amount must be 722.5.

`(5.5)/(100)x=722.5`

`x=(722.5)/(5.5)* 100`

`x=(72250)/(5.5)`

`x=13136.3636363636363636\approx 13136.36`

Now let us add 6500 and 13136.36 to get the total weekly sales.

`\text{total weekly sales}=6500+13136.36`

`\text{total weekly sales}=19636.36`

Therefore, the total of Dabney's sales for week was $19636.36.