Question

in a factory 5/8 of the workers are women.ther are 240 men. find number of people working in the factory.​

Answer 1

Step-by-step explanation:

Number of men =240

Number of women =5/8 of 240

Total number of people =240+5/8*240

=240+5*30=240+150

=390 people

Hope it helps

Answer 2

Answer:

The total number of people working in the factory is 640.

Solution:

Given,

Number of men in the factory = 240

Number of women  

$= \frac { 5 } { 8 } \times \text { Total number of people}$

If women covers 5/8 of the total number, then the men covers only 3/8 of the total number of people in the factory. This is because

$\begin{array} { c } { \text { Number of men + number of women } = 1 } \\\\ { m + \frac { 5 } { 8 } = 1 } \\\\ { m = 1 - \frac { 5 } { 8 } } \\\\ { m= \frac { 3 } { 8 } } \end{array}$

Thus, from the given,

Let x be the total number of people in the factory,

$\begin{array} { c } { \frac { 3 } { 8 } \text { of } x = 240 } \\\\ { \frac { 3 } { 8 } \times x = 240 } \\\\ { x = 240 \times \frac { 8 } { 3 } } \\\\ { x = 80 \times 8 } \\\\ { x = 640 } \end{array}$

Thus, there are a total of 640 people in the factory out of which 240 are men while the rest 400 are women.