That would mean 17 stacks and the smallest being (100-16) = 84
The 17 columns of 84 coins = 1428 total in the equal sized stacks
The number of extras is 0 on top of the first,1 on the second ,2 on the third and so on...,3, ...,14,15,16
so this time we have:
column 1 extras + column 17 extras = 0+16=16
column 2 extras + column 16 extras = 1+15=16
column 3 extras + column 15 extras = 2+14=16
column 4 extras + column 14 extras = 3+13=16
column 5 extras + column 13 extras = 4+12=16
column 6 extras + column 12 extras = 5+11=16
column 7 extras + column 11 extras = 6+10=16
column 8 extras + column 10 extras = 7 + 9=16
column 9 extras = 8
Extras = (8x16)+9 = 128 +9=136 total extras
I enjoy problem solving of any kind.
Make it even simpler:
Call the number of stacks N
If N is odd
, the total number of extras is N
and the total of coins in the same sized stacks is 101xN - (NxN)
Combined "extras + same" for odd number of stacks:102xN - (NxN)
If N is even
, the total number of extras is 1/2xN
and the total of coins in the same-sized stacks is 101xN - (NxN)
Combined "extras + same" for even number of stacks:101.5xN - (NxN)
Yes, I enjoy problem solving - this was fun
Edited in green to show my error. I had a 9 instead of 8 extra in column 9
- When I value " being right
" more than what IS
right, I am then right...a fool.
- How much squash could a Sasquatch squash if a Sasquatch would squash squash?
- Real men play Fizzbin.