A boy spent 20% of his money on books and 20% of the remainder on food. If he had $2000 left, how much money did he have at first?

Step-by-step explanation:

Let represent the amount of money he initially started with.

After he spent 20% on books, he will have of his initial money left. We can represent this as .

Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with of his money left.

Since we're given that he had $2,000 after all these transactions, we have the following equation:

Divide both sides by 0.64 to isolate and solve for :

Therefore, the boy had $3,125 to begin with.

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step-by-step explanation:

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