Aaron works part time as a salesperson for an electronics store. He earns $6.75 per hour plus a percent commission on all of his
sales. Last week Aaron worked 17 hours and earned a gross income of $290.63. Find Aaron’s percent commission if his total sales for the week were $3,350. If necessary, round your answer to the nearest hundredth of a percent.
First, find out how Aaron earned from the hours he worked plus the commission(c): 6.75 x 17 + c = 290.63 114.75 + c =290.63 Now we can work out c: c = 290.63 - 114.75 = 175.88. Aaron's commission is calculated as a percentage(p) of sales: 3350 x p/100 = 175.88 Multiply both sides by 100: 3350 x p = 17588 Now we can calculate p by dividing both sides by 3350: p = 17588/3350 = 5.25%
