Word problem

Question

the ratio of men to women working for a company is 4 to 5. If there are 135 employees total, how many men work for the company 

Answer 1

I see this as a system of two equations with two unknowns

 

Women = W

Men  = M

 

first equation :  men to women working for a company is 4 to 5

 

M/W = 4/5

 

2nd equation: 135 employees total

 

M+W= 135

 

Solving the system of equations by substitution

multiply both sides of 1st equation by W   >          M=4W/5

substitute in 2nd equation >                                 4W/5  + W = 135

solve for W   >                                                      W (9/5)=135   >  W=75

find M using 1st equation >                                  M=4*75/5 >  M=60

 

Answer>  There are 75 Women and 60 Men 

 

hope this helps. 

Carmen

 

 

Answer 2

This can be formulated as a ratio problem.

We know from the question that 4/(5+4) of the workers are men.

In order to get the total number of men we have to set up our proportionate problem.

 

Let our unknown x, be the total number of men

Using proportionate rule,    4/9 = x/135

simplify by cross-multiplying,    9x = 135 * 4

isolate the variable,            x = (135 * 4 ) / 9 

x = 60.  So there are 60 men. 

The remaining are women, so 135-60 = 75 women.

 

Another way to solve: let y be the total number of women

5/9 = y/135 

simplify, 9y = 135 * 5,   

solve for y,  y = (135 * 5)/ 9  = 75 women.

Now number of men is 135 - 75 = 60 men.

 

Answer 3

So,

 

the 4/(4+5)=4/9 part of workers are men, and

      5/(4+5)=5/9 part is women.

That is, there are 135*4/9= 60 women, and

                          135*5/9= 75 men

 

Answer 4

Let there be 4x men and 5x women.

4x+5x =135

x=15

4x=4*15 =60

5x=5*15 =75

So 50 men and 75 women.