Question

The ratio of men to women working for a company is 5 to 7 . If there are 276 employees total, how many women work for the company?

Answer 1

$\dfrac{m}{w}=\dfrac{5}{7}\\ m+w=276\\\\ 7m=5w\\ m=276-w\\\\ 7(276-w)=5w\\ 1932-7w=5w\\ 12w=1932\\ w=161\\\\ m=276-161\\ m=115$

Answer 2

The number of women working for the company is 161 if the ratio of men to women working for a company is 5 to 7.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

The ratio of men to women working for a company is 5 to 7

Let 5x be the total men and 7x be the total women working for the company:

Total employees  = 276

5x + 7x = 276

12x = 276

x =276/12

x = 23

Total men = 5x = 5(23) = 115

Total women = 7x = 7(23) = 161

Thus, the number of women working for the company is 161 if the ratio of men to women working for a company is 5 to 7.

Learn more about the ratio here:

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