Question

Kim bought a pair of shoes on sale for 39.60. The sale price was 45% of the original price. What was the original price of the shoes in dollars

Answer 1

If the price of $39.60 corresponds to 45% of the original price, we can use the following rule of three to find the price that corresponds to 100% of the original price:

`\begin{gathered} \text{price}\to percentage \\ 39.6\to45\% \\ x\to100\% \end{gathered}`

Now, we can write the following proportion and solve it for x:

`\begin{gathered} (39.6)/(x)=(45)/(100) \\ x\cdot45=39.6\cdot100 \\ x=(39.6\cdot100)/(45) \\ x=88 \end{gathered}`

Therefore the original price was $88.