Question re: Piece by Piece video on Prepswift Quant

GRE Quant Problem Solving
1

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Greg says that the answer is 44 here, but couldn’t we get a smaller number by dividing 84 by 4, or a greater factor than 2?

  • So if we divide it by 4 we can get 21 / 21 / 21/ 21 and then 1 for all the rest
  • But then we have the other 3 than the first child give 1 candy each to the first child, which would mean they get 24 and the other three each have 20
  • Which is smaller than 44?
2

Take five candies from the third person and give it to the second.

3

Sorry I still don’t get it :cry: What changes if you add 5 candies to the second?

4

Currently you have

24 20 20 20 …

If I take five candies from the third person, then I have

24 20 15 20 …

If I give them to the second person, then we have

24 25 15 20 …

Does the first person now have the greatest number of candies?

5

Hi @Leaderboard , I wanted to follow-up on this because I am also confused with the answer because the question doesn’t say that these candies are transferable so I don’t understand that how can we just assume it. So, I solved it like- there are total 100 candies if we divide by 16 that means all 16 children have 6 candies each and to make sure first person has the highest number we give the rest 4 to first person so that way he/she will have 10 candies and rest 6 because aren’t we trying to solve the minimum number of candies they must have to make sure others have less than that?

Or

Another possibility could also be that remaining four are distributed in a way so that first person gets 3 extra so 9 total and the remaining 1 is given to the second person because in this way too 1st person has the greatest number of candies.

6

Put it this way: person 1 gets 10 candies. Is this enough information for you to say that they will get the most number of candies at the end?

2 Likes
7

Hmm…right someone in the line can get more as this doesn’t have to be evenly distributed. Makes sense. Thank you!