The ratio is not clear. So, I am posting the complete question below:
The ratio of men to women working for a company is 8 to 5. If there are 312 employees total, how many women work for the company?
Answer:
There are 120 women working for the company.
Step-by-step explanation:
Given:
Ratio of men to women is given as 8 : 5.
From ratio and proportion, we know that, if two quantities A and B are in a ratio of [tex]a : b[/tex], then the quantities can be written as:
[tex]A= ax[/tex] and [tex]B = bx[/tex]
Therefore, number of men working = [tex]8x[/tex]
Number of women working = [tex]5x[/tex]
Now, total number of employees are 312. Therefore,
[tex]8x+5x=312\\13x=312\\x=\frac{312}{13}\\x=24[/tex]
Now, number of women employee working in the company is given as:
[tex]5x=5\times 24=120[/tex]
Therefore, 120 women work for the company.
