Question

The fraction of skilled workers is 4/9 , unskilled workers 1/10 supervisors 2/7 and the rest are managers if the total number of employees is 630 what is the number of managers?

Answer 1

The number of managers in the given number of employees is 107.

Given;

fraction of skilled workers, = ⁴/₉

unskilled workers = ¹/₁₀

supervisors = ²/₇

total number of employees = 630

let the fraction of the manager = x

To find:

the number of managers

First determine the fraction of the managers;

$x + \frac{4}{9} + \frac{1}{10} + \frac{2}{7} = 1\\\\x + \frac{280 + 63 + 180}{630} = 1\\\\x + \frac{523}{630} = 1\\\\x = 1 - \frac{523}{630} \\\\x = \frac{107}{630}$

Finally, the number of managers is calculated as;

$number \ of \ managers = \frac{107}{630} \times 630 = 107$

Thus, the number of managers in the given number of employees is 107.

To learn more about fractions, please visit: brainly.com/question/13595113

Answer 2

This is all percentages so...
4/9 = 44%
2/7 = 29%
1/10 = 10%
Total = 83%
So 17% of 630 is left over which = 107