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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?

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Solution

Step 1: First, we need to find out Sandy's original salary. If Sandy gets 832morewhenhersalaryisincreasedby16832 more when her salary is increased by 16%, we can set up the equation 0.16S = 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 = 832/0.16=832 / 0.16 = 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 52001.15=5200 * 1.15 = 5980.

Therefore, Sarah's salary is $5980.

This problem has been solved

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