Difference between revisions of "1967 IMO Problems/Problem 6"
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| − | In a sports contest, there were m medals awarded on n successive days (n > | + | In a sports contest, there were <math>m</math> medals awarded on <math>n</math> successive days <math>(n > |
| − | 1). On the first day, one medal and 1/ | + | 1)</math>. On the first day, one medal and <math>\frac{1}{7}</math> of the remaining <math>m - 1</math> medals |
| − | were awarded. On the second day, two medals and 1/ | + | were awarded. On the second day, two medals and <math>\frac{1}{7}</math> of the now remaining |
| − | medals were awarded; and so on. On the n-th and last day, the remaining n | + | medals were awarded; and so on. On the n-th and last day, the remaining <math>n</math> |
medals were awarded. How many days did the contest last, and how many | medals were awarded. How many days did the contest last, and how many | ||
medals were awarded altogether? | medals were awarded altogether? | ||
| − | |||
| − | + | ==Solution== | |
| + | The solution is found here [https://artofproblemsolving.com/community/c6h21120p137245] | ||
Revision as of 23:01, 1 August 2020
In a sports contest, there were 
medals awarded on 
successive days 
. On the first day, one medal and 
of the remaining 
medals
were awarded. On the second day, two medals and of the now remaining
medals were awarded; and so on. On the n-th and last day, the remaining
medals were awarded. How many days did the contest last, and how many
medals were awarded altogether?
Solution
The solution is found here [1]
