# A software sales woman is paid a base salary and she makes a commission of 10% on everything she sales. How much sales does she need to have an annual salary of $120,000 if she has a base salary of$85,000.?

Dec 6, 2016

This sales person must have $350,000 in sales to have a total annual salary of$120,000.

#### Explanation:

we can describe the salary this salesperson makes as:

t = b + (10%*s) where $t$ is the total sales, $b$ is the base salary and $s$ is the total sales. Using the information we are provided in the problem we can substitute and solve for the "total sales, $s$. We can also substitute $\frac{10}{100}$ or $0.1$ for 10# as % means per 100.:

$120000 = 85000 + \left(0.1 \cdot s\right)$

$120000 - 85000 = 85000 - 85000 + \left(0.1 \cdot s\right)$

$35000 = 0 + \left(0.1 \cdot s\right)$

$35000 = 0.1 \cdot s$

$\frac{35000}{0.1} = \frac{0.1 \cdot s}{0.1}$

$350000 = \frac{\cancel{0.1} \cdot s}{\cancel{0.1}}$

$s = 350000$