Question

you earn 8% commissions on the first $8000 that you sell at the jewelry shop. you earn 12% commissions on anything you sell over $8000. if your commissions is $1480, how much were your sales? is it $6 520

Answer 1

Data:

8% commisions on the first $8000

12% commisions on a sell over $8000

Total commisions: $1480

You have the next equation for the situation: x is the sells over the $8000

$\begin{gathered} C=8000(\frac{8}{100})+x(\frac{12}{100}) \\ \\ C=640+0.12x \end{gathered}$

Total sells:

$S=8000+x$

If the total commisions are $1480:

$\begin{gathered} 1480=640+0.12x \\ 1480-640=0.12x \\ 840=0.12x \\ \frac{840}{0.12}=x \\ \\ x=7000 \end{gathered}$Then, as the sells over $8000 are $7000, the total sell are the sum of 8000 and 7000: $S=8000+7000=15000$Total sells: $15000