Question

Briana has been offered a sales job in another city. The offer was for \($42,500$plus $8$% of her total sales. In order to make it worth the move, Briana needs to have an annual salary of at least \)$66500$. What would her total sales need to be for her to move?

Short answer

The total sales is$\$300000.$

Step-by-step solution

Step 1. Given Information

The total annual salary is $\$66500$

The minimum assured salary is $\$42500$

Interest on the total sales is $8\%$

Step 2. Solving the inequality

Let the total sales be $x$

Therefore, according to the question,

$$\begin{gathered} 8\%ofx+42500=66500 \\ \frac{8}{100}\times x+42500=66500 \\ 0.08x=66500-42500 \\ 0.08x=24000 \\ x=\frac{24000}{0.08} \\ x=300000 \end{gathered}$$