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Medals (Posted on 2004-01-29) Difficulty: 3 of 5
In a sports contest there were m medals awarded on n successive days (n > 1).
On the first day 1 medal and 1/7 of the remaining (m - 1) medals were awarded.
On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.
On the nth and last day, the remaining n medals were awarded.
How many days did the contest last, and how many medals were awarded altogether?

  Submitted by Ravi Raja    
Rating: 3.2000 (5 votes)
Solution: (Hide)
Total 36 medals were awarded and the contest was for 6 days.
On day 1: Medals awarded = (1 + 35/7) = 6 : Remaining 30 medals
On day 2: Medals awarded = (2 + 28/7) = 6 : Remaining 24 medals
On Day 3: Medals awarded = (3 + 21/7) = 6 : Remaining 18 medals
On day 4: Medals awarded = (4 + 14/7) = 6 : Remaining 12 medals
On day 5: Medals awarded = (5 +7/7) = 6 : Remaining 6 medals
On day 6: Medals awarded 6.

Brian Smith provides another solution here

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionsolutionlogischer Verstand2004-03-29 19:06:28
SolutionNo SubjectPurna2004-01-30 01:34:11
Solutionmy solutionAdy TZIDON2004-01-29 16:13:53
SolutionBrian Smith2004-01-29 14:46:46
SolutionsolutionSilverKnight2004-01-29 12:19:34
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