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The Elephant Diet

Age 11 to 14 Short Challenge Level:

Using words
Every day, the elephant eats the amount of carrots that the rabbit eats in 365 days, and the rabbit eats the amount of carrots that the rabbit eats in 1 day.

So together, they eat the amount of carrots that the rabbit eats in 366 days - so the rabbit eats 122 kg of carrots in 366 days

That means it eats 122$\div$366 = $\frac13$ kg of carrots every day.


Using algebra
Suppose the rabbit eats $r$ kg of carrots each day.

Then the elephant eats $365r$ kg of carrots each day.

Together, they eat 122 kg of carrots, so $$\begin{align} r+365r&=122\\
\Rightarrow 366r&=122\\
\Rightarrow r&=\tfrac{122}{366}\\
\Rightarrow r&=\tfrac13\end{align}$$
You can find more short problems, arranged by curriculum topic, in our short problems collection.