Question

The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?

employees

Answer 1

336 total employees

Explanation:

divide women by their respective ratio to get unit multiplier

196÷7=28

add the 2 numbers in the ratio to get both men and women

7+5=12

multiply everyone by unit multiplier

12(28)

336

Answer 2

336 employees

Explanation:

Hi there!

We're given:

Ratio of men to women ⇒ 5:7

Number of women in the company ⇒ 196

1) Solve for the number of men in the company

Set up a proportion

`\displaystyle (5)/(7) = (x)/(196)` where x is the number of men working at the company

Multiply both sides by x

`\displaystyle (5)/(7) *196= x\\\\x=140`

Therefore, there are 140 men working at the company.

Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.

I hope this helps!