SOLUTION: 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?

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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