Greg got 44 pieces, which must be given to the first child to ensure they got the minimum amount of candy that has the greatest number after all 100 pieces are distributed. But I got 8, let me explain
I distributed an even amount to all kids, in this case 6 for all 16 kids. 96/100 (+6)
This leaves me with 4 pieces of candy left
3)I then distribute 3 pieces to the first 3 kids, each kid getting 1 piece, leaving me with one piece (+1)
I then give that last piece to the first child, my favorite child (+1)
6 + 1 + 1 = 8
I feel that I have fulfilled all the requirements from the question and got a lower number, since the question asks for the minimum. So did I finally beat greg at something or did i mess up in some kind of way.
“ensure that (the first kid”) is the key. It’s like our “must be” mentality. I.e. no matter what happens, what is the min amount that makes sure that the first kid gets the most.
We don’t get to decide anything other than how many pieces the first kid gets. So your scenario is unfortunately re-writing the question.
I see so when the question is worded to ensure that the first kid gets the most candy, I have to view the question as “how is this question is going to give me the worst outcome”, which is by having one of the kids (not the first kid) to have a crazy amount of candy. And my job, is to find the needed amount to ensure that the first kid, no matter how the question distributes the candy left over, has the most candy?
