SOLUTION: The ratio of men to women at a certain company is 7 to 4. How many employees does the company have if there are 35 male employees? In which way 7men and 4women combine like 35me

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Question 247094: The ratio of men to women at a certain company is 7 to 4. How many employees does the company have if there are 35 male employees?
In which way 7men and 4women combine like 35men and "some given" women? Proportions are fractions. So 7/4=1.75 (read 7 divided by 4 equal 1.75) must be the same (equal) to 35/some number=1.75.
So what is that number? Well, try with the most simple equivalent example to unlock the mistery. For instance, if the numbers were 6/what number?=2 which answer would it be?. Then you know that the "what number?* is 3 because you saw, intuitively,that there are 3 groups of 2 objects making a total of 6 object. In other words, you did 6/2=3. So do the same with the "more complicated" numbers of the questions.
35/what number?= 1.75
The answer is 35/1.75=20
So now we know that there are 20 women.
So in total there are 35 men and 20 women. 35+20=55 employees in total.

Found 2 solutions by edjones, sandrodacomo:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Let x=number of women
x/35=4/7
x=105/7
x=15
15+35=50 number of employees
.
Ed

Answer by sandrodacomo(1)   (Show Source): You can put this solution on YOUR website!
In which way 7men and 4women combine like 35men and x women? Proportions are fractions. So 7/4=1.75 must be equal to 35/some number=1.75. So what is that number? Well, try with the most simple equivalent example to unlock the mistery. For instance, if the numbers were 6/what number?=2 which answer would it be?. Then you know that the what? number is 3 because you did, intuitively,that there are 3 groups of 2 objects making a total of 6 object. In other words, you did 6/2=3. So do the same with the "more complicated" numbers of the questions.
35/what number?= 1.75
The answer is 35/1.75=20
The answer is 20 women.
So in total there are 35 men and 20 women. 35+20=55 employes in total.

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