C = amount of campers
so, if we give each campler 1/6 lb evenly, whatever that sum will just add up to 2/3 lb.
If we have "C" campers, the product of 1/6 * C gives use that sum, so we can say that
[tex]\cfrac{1}{6}C~~ =~~\cfrac{2}{3}\implies C = \cfrac{~~ \frac{2}{3}~~}{\frac{1}{6}}\implies C = \cfrac{2}{3}\div \cfrac{1}{6}\implies C = \cfrac{2}{\underset{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies C = 4[/tex]