Question

5) Jane painted 2 1/2 walls with 2/3 cans of

paint. How much paint did she use on
one wall?

Answer 1

`\begin{array}{ccll} walls&cans\\ \cline{1-2} 2(1)/(2)&(2)/(3)\\[1em] 1&c \end{array}\implies \cfrac{ ~~ 2(1)/(2) ~~ }{1}~~ = ~~\cfrac{~~ ( 2 )/( 3 ) ~~}{c}\implies 2(1)/(2)=\cfrac{~~ ( 2 )/( 3 ) ~~}{(c)/(1)}\implies \cfrac{5}{2}=\cfrac{2}{3}\cdot \cfrac{1}{c} \\\\\\ \cfrac{5}{2}=\cfrac{2}{3c}\implies 15c=4\implies c=\cfrac{4}{15}\textit{ of a can of paint}`