4. Charity. A generous person distributed the same amount of money equally among those who asked him for assistance every week. One day he noticed:
- If the number of petitioners is five less next week, each will receive two dollars more.
But, alas, after a week, the number of petitioners did not decrease but increased by four.
- This means,--the benefactor noted,--that each will receive one dollar less.
How much did each petitioner receive this last time?
Official solution
4. At first, there were 20 people and each received 6 dollars. Fifteen people (five fewer) would have received 8 dollars each. But their number increased to 24 (by four people), and each received only 5 dollars. Thus, the weekly donation amount is 120 dollars.
Source: NuminaMath-1.5,
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