Math CentralQuandaries & Queries


Question from bertha, a student:

A real estate broker's base annual salary is $\$18,000.$ She earns 3% commission on total sales. How much must she sell in real estate value during the year to earn $\$65,000?$ Set up an equation and solve. Show all work to receive full credit. Round final answer to the nearest dollar.

Hi Bertha,

I can help get you started.

Since she has a base salary of $\$18,000$ to have an annual income of $\$65,000$ she needs to make $\$65,000 - \$18,000 = \$47,000$ in commissions. Her commission is 3% of her sales and 3% is $\frac{3}{100}$ so $\frac{3}{100} \mbox{times her sales }$ must be at least $\$47,000.$

I hope this helps,

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS