Sandy will get $832 more if her salary is increased by 16%. Sandy's colleague Sarah's salary is 15% more than Sandy. What is Sarah's salary?
Question
Sandy will get $832 more if her salary is increased by 16%. Sandy's colleague Sarah's salary is 15% more than Sandy. What is Sarah's salary?
Solution
Step 1: First, we need to find out Sandy's original salary. If Sandy gets 832, where S is Sandy's original salary.
Step 2: Solve the equation for S. Divide both sides of the equation by 0.16 to get S = 5200. So, Sandy's original salary is $5200.
Step 3: Now, we know that Sarah's salary is 15% more than Sandy's. So, we can calculate Sarah's salary by multiplying Sandy's salary by 1.15 (which represents a 15% increase).
Step 4: So, Sarah's salary is 5980.
Therefore, Sarah's salary is $5980.
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