6. Pedro is asked to find three kangaroos whose weights are all whole numbers of kilograms and whose total weight is $97 \mathrm{~kg}$. What is the largest possible weight of the lightest of the kangaroos Pedro could find?
A $1 \mathrm{~kg}$
B $30 \mathrm{~kg}$
C $31 \mathrm{~kg}$
D $32 \mathrm{~kg}$
E $33 \mathrm{~kg}$
6. D Let $J \mathrm{~kg}$ be the weight of the lightest kangaroo. Then the total weight of the three kangaroos is at least $3 J \mathrm{~kg}$. And we know they weigh $97 \mathrm{~kg}$ in total, so $3 J \leq 97$, so $J \leq 32 \frac{1}{3}$. Hence the lightest is at most $32 \mathrm{~kg}$. The three could have weights $32 \mathrm{~kg}, 32 \mathrm{~kg}$ and $33 \mathrm{~kg}$.