Question

Tricia got a $6\%$ raise on her weekly salary. The raise was $\$30$ per week. What was her original salary?

Short answer

Tricia's original salary is$\$500.$

Step-by-step solution

Step 1. Given Information  

Tricia's per week raise was$\$30$and she got$6\%$raise on her weekly salary. We have to find her original salary.

Step 2. Translate into an equation 

Let sbe the weekly salary.

Tricia got $6\%$raise on her weekly salary and the raise was $\$30$per week

So, the equation is

role="math" localid="1647170524251" $\left(6\%\right)·s=30$

Step 3. Solve the equation 

By proceeding with the calculation further

$$\begin{gathered} \left(6\%\right)·s=30 \\ \left(0.06\right)·s=30 \\ s=\frac{30}{0.06} \\ s=500 \end{gathered}$$

Step 4. Check the answer 

So, yes $6\%\mathrm{of}500\mathrm{is}30.$

Thus, the original salary is$\$500.$