24. The League of Red Death. During a raid on the headquarters of a secret organization, the police found a scrap of paper, depicted in the image.

![](https://cdn.mathpix.com/cropped/2024_05_21_56f37ca27ac3d928838dg-015.jpg?height=255&width=494&top_left_y=1957&top_left_x=787)

- "I've been working on this piece of paper for three days now," the detective said. "It shows the total amount of membership fees for this year: $3007.37, but the number of members (I know there are no more than 500) and the amount of one fee are obscured so that they cannot be read. How many members are there in the League of Red Death, and what is the amount of the membership fee?"

Of course, the fee cannot contain fractional cents.
24. The total amount of contributions, expressed in cents, is 300737. This number can be represented as the product of two prime factors: 311 and 967. Since we know that the League of Red Death has no more than 500 members, the number of members is 311, and the contribution is 967 cents, or 9 dollars and 67 cents.

There can be no other solutions.