The initial amount of money she had before the spending and loss is; $36
How to solve algebra word problems?
We are told that she spent ²/₃ of her money.
Let the initial amount be x. Thus;
Amount spent = ²/₃x
Amount left = ¹/₃x
She lost ²/₃ of amount left. Thus;
Amount lost = ²/₃ * ¹/₃x = ²/₉x
She has $4 left after the loss. Thus;
¹/₃x - ²/₉x = 4
Multiply through by 9 to get;
3x - 2x = 36
x = $36
Thus, she started with $36
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