simple ratio question

Question

x = men , y = women

in some company there are 3x men than woman. so I know that x=3y

our teacher tought us a rule which he called "give to the poor", in this case the poor is the women because they are less than man, so I gave them 3. but I think this rule doesnt apply in this situation:

x=company 1 , y = company 2

there are 2 building companias. one company builds 1/3 from the apartments in the city, while the other company build 2/3 from the apartments in the city.

I tried 2/3x=y , but it know it's wrong, because for example there are 21 apartments, so x=7 , y = 14

(2/3)*7 != 14

Answer 1

If one company builds 1/3 from the apartments in the city, while the other company build 2/3 from the apartments in the city then the second company builds twice as much as the first one. This can be expressed as:

y  = 2x
14 = 2*7

In your first example you not only gave a lot (3) to the poor but also gave little (1) to the rich, hence:

1*x = 3*y

You need to do the same for the companies. Give a lot (2/3) to the poor and little (1/3) to the rich. Then you have:

2/3*x = 1/3*y

When you solve it (by multiplying both sides by 3) you get:

2x = y