Question

Joe painted 3/4 of a bedroom in a 1/2 of a day. How many days will it take for joe to paint one bedroom?

Answer 1

`\begin{array}{ccll} bedroom&day\\ \cline{1-2} (3)/(4)&(1)/(2)\\[1em] 1&d \end{array}\implies \cfrac{~~ ( 3)/(4 ) ~~}{1}~~ = ~~\cfrac{~~ (1 )/(2 ) ~~}{d}\implies \cfrac{3}{4}=\cfrac{1}{2d} \\\\\\ 6d=4\implies d=\cfrac{4}{6}\implies d=\cfrac{2}{3} ~~ \textit{of a day}`