Question

This week Skyler got a promotion at work that came with a 3 % pay increase. If now his monthly salary is $ 2369 , how much was he making before the raise?Enter your answer as a decimal. If needed, round to the nearest penny. Do not use commas.

Answer 1

Skyler's original salary is was $2300

Solution

- We are told that Skyler got a promotion that led to a 3% increase in his monthly salary and this salary became $2369. We are asked to find his original salary before the 3% salary increase.

- We can let his initial salary be X. Thus, we can model this 3% increase in his salary as follows:

`\begin{gathered} 3\text{ \% increase in salary of X dollars:} \\ (3)/(100)* X=0.03X \end{gathered}`

- Now that we know the expression for the 3% increase in salary, we can now simply add this value to X to get his new salary.

- Thus, we can say:

`\begin{gathered} \text{Old Salary}+\text{ Salary increase}=\text{ New Salary} \\ \text{Old Salary}=X \\ \text{Salary increase}=0.03X \\ \text{New Salary}=2369 \\ \\ \therefore X+0.03X=2369 \end{gathered}`

- This has led us to the equation in terms of X, Skyler's initial salary, which is solvable.

- Solving for X, we have:

`\begin{gathered} X+0.03X=2369 \\ 1.03X=2369 \\ \text{Divide both sides by 1.03} \\ (1.03X)/(1.03)=(2369)/(1.03) \\ \\ \therefore X=2300 \end{gathered}`

Final Answer

Skyler's original salary is was $2300