The total amount of her purchase before tax was added is; $52.46
We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.
Now, let the amount of her purchase be x. Thus;
8.75% * x = $4.59
x = 4.59 * 100/8.75
x ≈ $52.46
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