perplexus.info :: Numbers : Sports Medal Muse

Sports Medal Muse (Posted on 2022-04-30)

In a sports competition, there were M medals awarded on N successive days, where N is greater than 1.

On the first day: 1 Medal and 1/9 of the remaining (M-1) medals were awarded.
On the second day: 2 Medals and 1/9 of the now remaining medals were awarded, ...and, so on.
On the Nth and the last day: the remaining N medals were awarded.

How many days did the contest last and how many medals were awarded altogether?
Provide valid reasoning for your answers.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The contest lasted for 8 days and 64 medals were awarded altogether.
Brian Smith has submitted the solution to the generalized version of the problem using 1/k (k≥3) instead of 1/9.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2022-12-31 02:50:11
No Subject	JamesYawn	2022-12-30 13:13:35
No Subject	K Sengupta	2022-08-02 10:03:58
No Subject	K Sengupta	2022-08-02 10:03:54
Possible Solution	broll	2022-04-30 23:58:17
Solution	Brian Smith	2022-04-30 11:42:23

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