perplexus.info :: Just Math : Grape Consumption Conclusion

Grape Consumption Conclusion (Posted on 2016-03-08)

A group of children held a grape-eating contest.
When the contest was over, the winner had eaten N grapes, where N is a positive integer.
The child in Mth place had eaten N + 2 – 2M grapes.
The total number of grapes eaten in the contest was 2016.

Find the smallest possible value of N.

Submitted by K Sengupta

Rating: 3.3333 (3 votes)

Solution: (Hide)

The smallest possible value of N is 89, with the provision that each child ate a different number of grapes.
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
Solution with no ties	Brian Smith	2016-03-08 10:32:34
re: I could win this contest (spoiler)	Brian Smith	2016-03-08 09:48:05
No Rush	Harry	2016-03-08 09:08:37
I could win this contest (spoiler)	Steve Herman	2016-03-08 08:27:36

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