1% of Miss Simms' salary is deducted for Hex fees. Last year her salary increased by 10%. As a result, her Hex fees increased by $65. What was her original annual salary?
To find Miss Simms' original annual salary, we can work backwards from the given information.
Let's assume Miss Simms' original annual salary was x dollars.
According to the problem, her salary increased by 10%, so her new salary is 1.10x dollars.
We are also given that 1% of her salary is deducted for Hex fees. Therefore, her Hex fees last year were (1/100) * 1.10x = 0.011x dollars.
We are told that her Hex fees increased by $65, so we can set up the following equation:
(0.011x + $65) - 0.011x = 0.011x + $65 - 0.011x
Simplifying the equation, we have:
$65 = 0.011x
To solve for x, we need to divide both sides of the equation by 0.011:
$65 / 0.011 = x
x ≈ $5909.09
Therefore, Miss Simms' original annual salary was approximately $5909.09.