School board 8% salary cut (basic Algebra college math)

Question

Here is the question: A school board announces an across the board salary cut 8%. The superintendent makes $193,780 after the cut has been mad. What was her salary before the 8% cut?

Answer 1

To solve this question let's think about it the following way.

Before cut superintendent had 100% salary that we call X

Now he has 92% (after 8% cut) which we can represent as .92X

We also know that his final salary is $193,780. Therefore $193,780 = .92X

Let's solve for X: $193,780 / 0.92 = $210,630.43