in an apartment building, 2:3 of all men are married to 3:5 of all the women. What fraction of the people living in the apartment are married.?

Question

in an apartment building, 2:3 of all men are married to 3:5 of all the women. What fraction of the people living in the apartment are married.?

Answer 1

Assuming that each man is married to only one woman, and each woman is married to one man,

the LCM of 2 and 3 is 6

 

6:9 of men are married to 6:10 of the women.

 

Thus 19 people are in the apartment and the fraction married is 12:19.

 

Note: the number of people could be any integer multiple of 19.