SOLUTION: The average salary of 5 employees is$35000 but the average of 6 employees is $41000. How much does the 6th employee make?

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Question 472044: The average salary of 5 employees is$35000 but the average of 6 employees is $41000. How much does the 6th employee make?
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Average is the sum of n numbers divided by n.
Then the sum of n numbers is the average multiplied by n.
Let x be salary of 6th employee
Here is the equation for the average of the 6 employees:
%2835000%285%29+%2B+x%29%2F6+=+41000
Solve for x:
Multiply by 6 on both sides
35000%285%29+%2B+x+=+246000
Subtract 35000*5 on both sides
x+=+71000
Therefore, the 6th employee makes $71,000