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Zach had some money. He spent 40% of it on some toys and of the remainder on food. After that, his parents gave him $90. The ratio of the total amount of money he had in the end to the amount of money he had at first was 7 : 4. How much money did Paul have at first?

Question

Zach had some money. He spent 40% of it on some toys and of the remainder on food. After that, his parents gave him $90. The ratio of the total amount of money he had in the end to the amount of money he had at first was 7 : 4. How much money did Paul have at first?

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Solution

The problem seems to be missing a value for the amount Zach spent on food. It says "of the remainder on food" but doesn't provide a percentage or fraction. Could you please provide that information?

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