Step-by-step explanation:You are solving for the original price of a math book before a discount. What's given in the problem The discounted price of the math book is \(\$360\). The discount percentage is \(25\%\). How to solve Determine the original price by understanding the relationship between the discounted price, the discount percentage, and the original price. Step 1 . Calculate the percentage of the original price paid The price paid is \(100\%-25\%=75\%\) of the original price. Step 2 . Set up the equation Let \(P\) be the original price. \(0.75\times P=360\). Step 3 . Solve for the original price \(P=\frac{360}{0.75}\). \(P=480\). Solution The original price of the math book is \(\$480\).