Question

$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer

Answer 1

`\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14(2)/(9)\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14(2)/(9)}{1}\implies \cfrac{32}{x}=14(2)/(9)\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2(1)/(4)}=x`