Lana paid $40.8
Explanation
you can easily solve this by using a rule of three.
Step 1
if the jacket was on sale for 15 off, then Lana paid :
[tex]100-15=85[/tex]85 % of the original price
Step 2
Let
x represents the value for the 85%
if
[tex]48\Rightarrow100\text{ percent}[/tex]then
[tex]x\Rightarrow85\text{ percent}[/tex]the proportion is the same, then
[tex]\frac{48}{100}=\frac{x}{85}[/tex]solve for x
[tex]\begin{gathered} \frac{48}{100}=\frac{x}{85} \\ 48\cdot85=100\cdot x \\ x=\frac{48\cdot85}{100} \\ x=40.8 \end{gathered}[/tex]Hence
Lana paid $40.8