Question

ryan, a consumer electronics salesperson, earns a base salary of $1000 per month and a commission of 7% on the amount of sales he makes. one month ryan received a $1595 paycheck. find the amount of his sales for the month. ryan had sales of $\square$ for the month.

Explanation:

Step1: Define variables

Let $x$ = total sales amount.

Step2: Calculate commission earnings

Total pay = base salary + 7% of sales
$1585 = 1000 + 0.07x$

Step3: Isolate commission portion

Subtract base salary from total pay:
$1585 - 1000 = 0.07x$
$585 = 0.07x$

Step4: Solve for total sales

Divide to find $x$:
$x = \frac{585}{0.07}$

Answer:

Ryan had sales of $\$8357.14$ for the month.