Question 1068817: If the ratio of newborn girls to boys in a particular hospital is 5 : 3, which of the following could be the number of children in the hospital?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The total number of newborn children in the hospital has to be a multiple of  , such as
8,16,24,32,...
For an algebraic proof:
 = number of newborn boys
 = number of newborn girls
 <--> 
Since and are whole numbers,
it is obvious that
is a multiple of 
(let's say  , with  being a whole number),
and it is equally obvious that
is a multiple of 
(let's say  , with  being a whole number).
Now, substituting those expressions for and in ,
we get  --->  --->  .
Now the total number of newborn children in the hospital is  ,
and since  ,
 .
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