Jewellery Saes

(1) 8

Explanation

We will identify the commission and the dollar amount of the sales.  Then we can use the commission formula to find the unknown commission.

Solution

The commission is 448 USD and the dollar amount of the sale is 5,600 USD.

This is the commission formula

Commission = commission rate • sales

Substitute 448 for the commission and 5,600 for the sales.  Let x represent the unknown commission rate.

448 = x • 5600

We can drop the dollar signs.  To undo the multiplication by 5600 and isolate x on the right side of the equation, divide both sides by 5600.

$\frac{448}{\color{red}{5,600}} = \frac{x \cdot 5,600}{\color{red}{5,600}}$

On the right side, remove the common factor of 5,600 from the numerator and denominator.  On the left side, divide 448 by 5,600

$\require{cancel} 0.08 = \frac{x \cdot \cancel{5,600}^1}{\cancel{5,600}_1}$

To write the decimal 0.08 as a percent, multiply it by 100 by moving the decima point two places to the right, and then insert a % symbol.

008% = x

The commission rate paid the sales person on the sale of the diamond ring was 8%.