hey_thr67 wrote:I tried to attempt the Question using this approach but lets says food per dog has to be constant So,
(cans x days)/no. of dogs = k
So using this approach we have
(6x35)/10 = n x 12/7
and hence the answer is in fractions. Please let me know where am i getting wrong.
x/y = k implies the following: if x increases by a factor, then y increases by the same factor.
In my solution, (dogs*days)/cans = k.
This relationship holds true because:
If the number of dogs doubles, then the number of cans must double -- even if the number of days is unchanged.
If the number of days doubles, then the number of cans must double -- even if the number of dogs is unchanged.
In your solution, (cans * days)/no. of dogs = k.
This relationship is not valid: the number of days is NOT directly proportional to the number of dogs.
Quite the opposite.
If the number of cans remains constant, then, as the number of dogs INCREASES, the number of days must DECREASE.
TWICE AS MANY dogs can be fed for HALF the number of days.
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