Faye will get $15795 more if her salary is increased by 27%. Faye's salary is 35% less than her colleague Sally's salary. What is Sally's salary?
Question
Faye will get $15795 more if her salary is increased by 27%. Faye's salary is 35% less than her colleague Sally's salary. What is Sally's salary?
Solution
To solve this problem, we need to follow these steps:
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First, we need to find out Faye's original salary. If Faye gets 15795 is the 27% of her original salary. We can set up the equation as follows:
0.27 * Faye's original salary = $15795
To find Faye's original salary, we divide $15795 by 0.27:
Faye's original salary = 58500
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Next, we know that Faye's salary is 35% less than Sally's salary. This means that Faye's salary is 65% (100% - 35%) of Sally's salary. We can set up the equation as follows:
0.65 * Sally's salary = Faye's original salary
To find Sally's salary, we divide Faye's original salary by 0.65:
Sally's salary = 90000
So, Sally's salary is $90000.
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