Paul's Online Notes
Home / Algebra / Solving Equations and Inequalities / Applications of Linear Equations
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

### Section 2.3 : Applications of Linear Equations

2. A store is having a 30% off sale and one item is now being sold for 9.95. What was the original price of the item? Show All Steps Hide All Steps Start Solution We’ll start by letting $$p$$ be the original price of the item. The price of the item has been reduced by 30% and so 0.30$$p$$ has been subtracted from the original price, $$p$$. The equation we get for this problem is then, \begin{align*}p - 0.3p & = 9.95\\ 0.7p & = 9.95\end{align*} Show Step 2 To finish all we need to do is divide both sides by 0.7 to get the original price of the item. $p = 14.2143$ So, with rounding the original price of the item was14.21.