Question

In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0 then what is the smallest possible value of N

Answer 1

n = 19.

Explanation:

If there are x guinea pigs then there are 3/2 x and 2/3 x rats.

So n = x + 3/2 x + 2/3 x

n = 19x / 6

19x = 6n

Let x = 6 , then n = 19*6 / 6 = 19.

Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.