6. A Herd of Elephants. Springs are bubbling at the bottom of the lake. A herd of 183 elephants could drink it dry in one day, while a herd of 37 elephants would take 5 days. How many days would it take for 1 elephant to drink the lake?
6. Let's translate the problem into the language of algebra. Let the volume of the lake be $V$ liters, the elephant drinks $C$ liters of water per day, and $K$ liters of water flow into the lake from the springs per day. Then the following two equations hold: $183 C = V + K$ and $37 \cdot 5 C = V + 5 K$; from which we get: $C = 2 K$ and $V = 365 K$. Let one elephant drink the lake dry in $t$ days. Then: $t C = V + t K$, or $2 K t = 365 K + K t$, from which we get $t = 365$. Answer: in 365 days.