SOLUTION: The average weekly salary of 31 workers in a factory is $1350. If the salary of the manager is also included, the average becomes $1600. What is the mangers salary?

Question 857878: The average weekly salary of 31 workers in a factory is $1350. If the salary of the manager is also included, the average becomes $1600. What is the mangers salary?
Found 2 solutions by Alan3354, ben720:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The average weekly salary of 31 workers in a factory is $1350. If the salary of the manager is also included, the average becomes $1600. What is the mangers salary?
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31*1350 = pay of the 31 workers
32*1600 = pay of 31 + manager

Answer by ben720(159) (Show Source): You can put this solution on YOUR website!

Let Manager's salary = X
In word form, the average of (the manager's salary + the sum of the workers') is 1600.
Because the average of a number is the sum divided by the number of values, and the average worker's salary is 1350, and there are 32 people total,

Next, solve for X as shown below.
Firstly, multiply both sides by 32

Do the multiplication

Subtract 41850

The manager gets has a salary of $9350

To check, I found the average of 31 3150s and a 9350 and did get 1600.
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