Respuesta :
Answer
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:
[tex]\begin{gathered} 3\text{ \% increase in salary of X dollars:} \\ \frac{3}{100}\times X=0.03X \end{gathered}[/tex]
- 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:
[tex]\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}[/tex]- This has led us to the equation in terms of X, Skyler's initial salary, which is solvable.
- Solving for X, we have:
[tex]\begin{gathered} X+0.03X=2369 \\ 1.03X=2369 \\ \text{Divide both sides by 1.03} \\ \frac{1.03X}{1.03}=\frac{2369}{1.03} \\ \\ \therefore X=2300 \end{gathered}[/tex]Final Answer
Skyler's original salary is was $2300
