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18 June, 04:21

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?

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  1. 18 June, 04:29
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    n = 19.

    Step-by-step 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.
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