Question

a saleperson receives 5% commission and each sweater costs $40.if he wants to make $100 in commission this week, how many sweater does he need to sell?

Answer 1

The salesperson receives 5% of the sweater cost, that is, $40*5% = $2 per sweater. To find how many sweaters does he need to sell to make $100, we can use the next proportion.

$\frac{2\text{ dollars}}{100\text{ dollars}}=\frac{1\text{ sweater}}{x\text{ sweaters}}$

Solving for x,

$\begin{gathered} 2\cdot x=1\cdot100 \\ x=\frac{100}{2} \\ x=50 \end{gathered}$

He has to sell 50 sweaters