Question

6 loads of stone weigh 2/3 ton. Find the weight of 1 load of stone.

Answer 1

$\bf \begin{array}{ccll} loads&tons\\ \cline{1-2} 6&\frac{2}{3}\\\\ 1&x \end{array}\implies \cfrac{6}{1}=\cfrac{~~\frac{2}{3}~~}{x}\implies 6=\cfrac{~~\frac{2}{3}~~}{\frac{x}{1}}\implies 6=\cfrac{2}{3}\cdot \cfrac{1}{x} \\\\\\ 6=\cfrac{2}{3x}\implies 18x=2\implies x=\cfrac{2}{18}\implies x=\cfrac{1}{9}$