# The Michael Jewels Potato Puzzle.

Discussion in 'Off Topic [BG]' started by Thor, Dec 29, 2003.

1. ### ThorModeratorStaff MemberGold Supporting Member

Michael Jewels was peeling spuds for Candied Potatoes on Wednesday, and had a disconcerting thought.

Peeling spuds is a pain in the neck, but it is the only way to make real candied { or mashed }
'taters, so he grabbed a couple of bags of Yukon Golds and had at it.

Then he began to wonder, would he be better off peeling little spuds or big spuds? Which one is gonna give him the most weight but fewer inches of peel?

There were two bags side by side at the store.

He wants to peel as few strokes as possible to come up with 10 pounds of raw peeled spuds.

Assumptions:

a)
All masses from all potatoes are the same i.e the mass of 1 cubic inch of raw potato is the same no matter which spud it comes from.

b) The mass of the peel is negligible, i.e. the peel and its weight are not a factor. The peel is actually the surface area of the potato.

Why one should he buy? Why?
How can you prove this?

( You may need to use {the code /code} function to display your answer.)

Thor

2. ### NJL

Apr 12, 2002
San Antonio
why, Thor, why...

3. ### ThorModeratorStaff MemberGold Supporting Member

To demonstrate that the 'No child left behind' bill works and that someone younger than you
from the Lone Star State may possess sufficient math skills to solve this.

cough, cough ...

4. ### NJL

Apr 12, 2002
San Antonio
for thor -

let the games begin!

5. ### Michael Jewels

Um, ahem, er...

I know the answer to this.

I don't want to give it away just yet, I want to see who can solve it on their own.

Mike

I guess I will always be associated with potatos. (hee-hee)

6. ### BustinJustinbanned

Sep 12, 2003
NYC, LI too
Weight or Measure- which ever is greater?

ummmmmm oookkkk umm.....

tooo hard getting light headed.... i pass

I prefer green beans anyway.

7. ### jenderfazz

Apr 17, 2003
I have an idea. Not 100% sure if it's right, I'll just wait a little.

8. ### ThorModeratorStaff MemberGold Supporting Member

OK. since the AP math students are still sleeping,
lets move a step closer.

Let's assume all the spuds are perfectly round.

Intuitively, the bigger spud should have a better
yield, but I can't prove it ...

Since the mass of the potato per cu inch is the same reagrdless of the spud it comes from, the only comparison needed is the Volume as the mass, whatever it is, is directly proportional to the volume. But we digress...

9. ### Mike MoneyBanned

Mar 18, 2003
Bakersfield California
Avatar Speakers Endorsing Hooligan
Peel of the smaller ones. Why? Because I am a super human who just knows these things.

10. ### BustinJustinbanned

Sep 12, 2003
NYC, LI too
if both bags weigh the same... then it wouldn't matter which bag he peels, he will get the same yeild either way..........

no?

11. ### Nick GannTalkbass' Tubist in Residence

Mar 24, 2002
Silver Spring, MD
But you want the same yield, with less peeling. Thats the hard part. Which involves less peeling.

12. ### ThorModeratorStaff MemberGold Supporting Member

Another hint.

The peel has length and width, just no thickness.

13. ### pkr2

Apr 28, 2000
coastal N.C.
This is simple. The answer is 26!

Harrell S.

14. ### babaSupporting Member

Jan 22, 2002
3rd stone from the sun
big spuds.

16. ### temp5897Guest

Is it me or is this a really easy answer?

17. ### Mike MoneyBanned

Mar 18, 2003
Bakersfield California
Avatar Speakers Endorsing Hooligan
ha hahahaha. my user title rules.

18. ### babaSupporting Member

Jan 22, 2002
3rd stone from the sun
Duhhh....

I just spent and hour peeling. Now kick down a recipe!

19. ### BustinJustinbanned

Sep 12, 2003
NYC, LI too
english is cool huh

20. ### The_Bass

well, duh!

I converted the diameter of those potatos to cm for my convenience.

the surface area of the 2" potato is 81,71cm^2 and it's volume is 69,49cm^3
the surface area of the 3" potato is 181,45cm^2 and it's volume 229,85cm^3

so for the 2" one you get 0,85cm^3 for every cm^2
but for the 3" one you get 1,27cm^3 for every cm^2

and from this, it's easy to see that the 3" potato is the way to go.