Question

Sam's biweekly paycheck is $1500. 1/2 of his paycheck is used to pay bills. 1/5 of his paycheck is deposited into his savings account. The remainder of his paycheck is used for food and entertainment. How much money does Sam have available for food and entertainment?

Answer 1

`\stackrel{\textit{for bills}}{1500\cdot \cfrac{1}{2}}~~ + ~~\stackrel{\textit{for savings}}{1500\cdot \cfrac{1}{5}}~~ + ~~\stackrel{\textit{food and ET}}{x}~~ = ~~\stackrel{total}{1500} \\\\\\ 750+300+x=1500\implies 1050+x=1500\implies x=450`