Hello!
First, let's consider the value of $48.88 as 100%. Then, we have to find how many correspond to 8% of it. We can calculate it using the rule of three:
![\begin{gathered} (48.88)/(x)=(100)/(8) \\ \\ \text{ multiplying across} \\ x\cdot100=8\cdot48.88 \\ 100x=391.04 \\ x=(391.04)/(100) \\ x\cong3.91 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fef7aqyek3mkud9kuyaz127hikbqtu2qc0.png)
So, the sales tax is $3.91.
Now, we have to add the price of the coat with the sale tax:
$48.88 + $3.91 = $52.79
If she pays all together, the cost will be $52.79.