# Her earns a salary of $315 plus a commission on on Alice monthly total sales. Last month her total sales were$9640, and she earned a total of $1182.60. What is her commission rate? ##### 1 Answer Oct 26, 2016 Alice's commission rate is 9% of her total sales. #### Explanation: If Alice's total earnings (from salary and commission) were $1182.60 and her salary is $315, it means that the amount earned from commission alone is $867.60:

$1182.60 - 315 = 867.60$

This amount represents Alice's commission on her total sales of $9640. To find the rate of her commission ($x$), we write the equation: $9640 \times \frac{x}{100} = 867.60$Simplifying the terms: $96.4 x = 867.6$$x = \frac{867.6}{96.4}$Shifting the decimal point equally: $x = \frac{8676}{964}$$x = 9\$