Question

2. A discounted jacket costs $64. Mel used a discount coupon that decreased the price by 60%. What was the original price of the jacket? Show or explain your thinking.

Answer 1

Answer : $160

`\begin{gathered} \text{Discounted jacket cost \$64} \\ \text{The discount coupon is reduced by 60\%} \\ \text{The reduced coupon is calulated as } \\ 100\text{ - 60 = 40\%} \\ Applying\text{ the formula} \\ part\text{ = whole x percentage} \\ \text{Let the original price be x} \\ \text{Part = discounted price = \$64} \\ \text{percentage = 40\%} \\ 64\text{ = x }\cdot\text{ }(40)/(100) \\ 64\text{ = x }\cdot\text{ 0.4} \\ 64\text{ = 0.4x} \\ \text{Divide both sides by 0.4} \\ (64)/(0.4)\text{ = }(0.4x)/(0.4) \\ x\text{ = \$160} \\ \text{The original price of the jacket is \$160} \end{gathered}`