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
1. A widget is being sold in a store for $135.40 and has been marked up 7%. How much did the store pay for the widget?
Show All Steps Hide All Steps
Start SolutionWe’ll start by letting \(p\) be the price that the store paid for the widget. The widget has been marked up by 7% and so 0.07\(p\) has been added to the original price, \(p\).
The equation we get for this problem is then,
\[\begin{align*}p + 0.07p & = 135.4\\ 1.07p & = 135.4\end{align*}\] Show Step 2To finish all we need to do is divide both sides by 1.07 to get the price the store paid for the widget.
\[p = 126.5421\]So, with rounding the store paid $126.54 for the widget.