Question

An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oranges? a0 oranges

Answer 1

$\bf \begin{array}{ccll} oranges&lbs\\ \cline{1-2} 1&\frac{3}{5}\\\\ x&6 \end{array}\implies \cfrac{1}{x}=\cfrac{~~\frac{3}{5}~~}{6}\implies \cfrac{1}{x}=\cfrac{~~\frac{3}{5}~~}{\frac{6}{1}}\implies \cfrac{1}{x}=\cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{1}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}} \\\\\\ \cfrac{1}{x}=\cfrac{1}{10}\implies 10=x$