# Enterprise and wages

The enterprise operates a total 162 workers and their average salary is M dollars. If the company has hire an additional 18 employees whose average wage would be the S dollars, would reduce the overall average salary in the company of 3.6%.

Calculate the value of the proportion of theirs salaries M/S.

Result

x=M/S =  1.563

#### Solution:

$\dfrac{ 162 M + 18 S}{ 162+18} = (1-3.6/100)M \ \\ \dfrac{ 162 M/S + 18 }{ 162+18} = (1-3.6/100)M/S \ \\ \dfrac{ 162 x + 18 }{ 162+18} = (1-3.6/100)x \ \\ x = M/S = 1.563 \ \\$

(162 x+18)/(162+18) = (1-3.6/100)*x

6.4x = 10

x = 2516 = 1.5625

Calculated by our simple equation calculator.

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