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Answer: $\frac13$ kg
Using words
Elephant portion = 365 rabbit portions
Rabbit portion = 1 rabbit portion
Total = 366 rabbit portions
366 rabbit portions = 122 kg
1 rabbit portion = 122$\div$366 = $\frac13$ kg of carrots.
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 $$\begin{align} r+365r&=122\\
\Rightarrow 366r&=122\\
\Rightarrow r&=\tfrac{122}{366}\\
\Rightarrow r&=\tfrac13\end{align}$$
The Elephant Diet
Age 11 to 14
ShortChallenge Level 
Answer: $\frac13$ kg
Using words
Elephant portion = 365 rabbit portions
Rabbit portion = 1 rabbit portion
Total = 366 rabbit portions
366 rabbit portions = 122 kg
1 rabbit portion = 122$\div$366 = $\frac13$ kg of carrots.
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.
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