SOLUTION: The ratio of men to women at a certain company is 5 to 7. How many male employees does the company have if there are 204 employees?

Question 329639: The ratio of men to women at a certain company is 5 to 7. How many male employees does the company have if there are 204 employees?

Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = number of male employees and y = number of female employees

So because "there are 204 employees", this means that . Solve for y to get

Also, since "The ratio of men to women at a certain company is 5 to 7", this means that (basically the ratio of 'x' men to 'y' women is 5 to 7)

Start with the given equation.

Plug in

Cross multiply

Distribute.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

So this means that the company has 85 male employees.
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
The ratio of men to women at a certain company is 5 to 7. How many male employees does the company have if there are 204 employees?
Us this rule:
If x things and y things are in a ratio of a to b, then in a group of x+y things, x = and y =

Here, x male employees and y female employees are in a ratio of 5 to 7, so in this group of x+y, or 204 people, x = and y = . [Or we could have just found one of them,
and found the other by subtracting from 204.]
Edwin
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