Question

A person earned $44 a day for babysitting 6 hours. How much can the person earn by babysitting 9 hours a day, at the same hourly rate?

Answer 1

`\begin{array}{ccll} \$&hours\\ \cline{1-2} 44 & 6\\ x& 9 \end{array} \implies \cfrac{44}{x}~~=~~\cfrac{6}{9} \\\\\\ \cfrac{ 44 }{ x } ~~=~~ \cfrac{ 2 }{ 3 }\implies 132=2x\implies \cfrac{132}{2}=x\implies 66=x`