SOLUTION: The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company

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Question 1185464: The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company
Found 3 solutions by MathLover1, greenestamps, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
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let the number of men be m and the number of women w
if the ratio of men to women working for a company is 3 to 2, we have
m%2Fw=3%2F2 ....solve for m
m=3w%2F2 ....eq.1

if there are 110+employees, than
m+%2B+w=110.....substitute m from eq.1
3w%2F2+%2B+w=110
3w+%2B+2w=220
5w=220
w=220%2F5
w=44
there are 44 women work for the company


Answer by greenestamps(13198) About Me  (Show Source):
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The other tutor solves the problem by writing an equation that says the ratio of men to women is 3 to 2:

m%2Fw+=+3%2F2

They then go on to solve the problem correctly.

For most students, an easier path to the solution would be by taking the given ratio 3:2 and doing this:

Let 3x = number of men
Let 2x = number of women

The total number of employees is 110:

3x%2B2x=110
5x=110
x=110%2F5+=+22

ANSWER: The number of women is 2x = 2(22) = 44

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For virtually all problems where a given ratio like 5:3 is given, the easiest path to the solution will be by letting the two quantities be represented by 5x and 3x.

Answer by MathTherapy(10551) About Me  (Show Source):
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The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company 
It's NOT as complex as that woman makes it seem.

A men-to-women ratio of 3:2 means that the fraction of men is: matrix%281%2C3%2C+3%2F%283+%2B+2%29%2C+%22=%22%2C+3%2F5%29 and fraction of women is: matrix%281%2C3%2C+2%2F%282+%2B+3%29%2C+%22=%22%2C+2%2F5%29

Number of women who work for the company: