Question

2/3 of Jim’s number is 48.
Work out 5/6 of Jim’s number

Answer 1

`\begin{array}{ccll} Ration&Value\\ \cline{1-2} (2)/(3)&48\\\\ (5)/(6)&N \end{array}\implies \cfrac{~~ ( 2 )/( 3 ) ~~}{(5)/(6)}~~ = ~~\cfrac{48}{N}\implies \cfrac{ 2 }{ 3 }\cdot \cfrac{6}{5}=\cfrac{48}{N}\implies \cfrac{12}{15}=\cfrac{48}{N} \\\\\\ 12N=(15)(48)\implies N=\cfrac{(15)(48)}{12}\implies N = 60`