Little piggy's bank
If it has a 5 inches x 4 inches base and height of 11 inches, how many standard sized pennies can you put into an empty piggy bank?
posted by Jin at
9:55 AM
Tuesday, February 16, 2010
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30 Comments:
Just 1, any more that you add will not be going into an empty piggy bank
6512 of our english pennies. Assuming the stack neatly etc, and my wife doesn't raid the piggy bank every so often....
No pennies...
as the first penny just begins to enter the coin slot, the bank is no longer empty ... therefore, you can put no pennies in an empty bank ... you can put one or more pennies in a formerly empty bank ... ;-)
Zaux,
And why is the bank no longer empty???
Because you put a penny in it!!
Therefore, I stick with 1 as the answer.
:-)
5x4 base and 11 inch height is a seriously weird looking piggy bank. Most piggy banks have width about half or less of length, and height slightly more than width.
Dual ...
I like your answer ... was just being silly ;-)
DUALASPECT IS A NIT PICKER, CORRECT, BUT A NIT PICKER. I LIKE A NIT PICKER, AND IT TAKES ONE TO KNOW ONE.
KARL SHARMAN NEEDS TO BE NIT PICKED, DOES HE REALLY MEAN "ENGLISH PENNIES" OR "ENGLISH PENCE" NEITHER OF WHICH EQUAL AN AMERICAN PENNY. 6512 DOESNT WORK OUT CORRECT BASED ON LAYERS OF THIRTY FIVE USA AMERICAN PENNIES.
MY SOLUTION IS LAYERS OF 5 X 7 OR 35 PENNIES AND 195 LAYERS EQUAL 6825 PENNIES PLUS ANY YOU CAN STUFF IN THE CRACKS AT THE EDGE.
FEEL FREE TO NIT PICK MY SOLUTION
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Halpr,
Since you invited nit picking, is this assuming NEW pennies or WORN pennies.
Before I begin computing, I realized it might make a slight difference.
But really I prefer the ONE penny solution.
But thanks, I enjoyed your effort.
I'm going with Zaux's 0, for the reason he gave, and so he's got company.
If he's wrong then I'm not Chris (again).
after re-evaluating all the posts thus far, I'm sticking with my "no pennies" answer ... next, I like Dual's "1 penny" comment.
To the piggy bank gods:
please let the correct answer be "no pennies" ... if, wrong, then Chris loses his identity ... and he will have to go lie down on a sofa and tell some stranger whether he had a puppy as a child.
I will say:Chris is not Chris,Zaux only thinks he's Zaux,Knightmare is a duck,and the answer is 1
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Knightmare, why isn't it 0? Wiz's reasoning is excellent. DualAspect's was very good too, but sidesteps the issue of the very act of beginning to put the coin in has broken the condition of being allowed to put it in.
Besides, I bet it's full of air.
Pretty please, on my knees, change your vote :)
Knightmare ...
you mean I might just be a figment of my own imagination? ... darn pain meds ;-)
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Chris (or whoever you may be now),
Just to stir things up a bit more.....
If you put a candle into a candle-holder only the base fits into the holder, but it's still said to be "in the holder", if you put a key into a lock it doesn't completely disappear inside, there's still a bit sticking out, but the key is still in the lock.
If you put a coin into a piggy bank, even if it sticks into the slot only a little way, the coin can still be said to be in the piggy bank.
So I would say that Zaux's answer still indicates that the solution is 1 as he is still putting a penny into the piggy bank, he just isn't dropping it to the bottom.
Dear HALPR, if nit picking is in order, I went with pennies, as opposed to pence as there was more than 1 item, hence plural. Pence, when used as 20 pence, refers to a single unit of measurement, but 20 pennies is correct if you have 20 x 1 pence coins.
I was also referring to current currency as the old ones haven't been around for nearly 40 years. Presumptuous on my part I know, but arrogaNCE HAS ALWAYS BEEN A FAILING OF MINE!
With regards nit picking your anser, you comment in the first sentence that DualAspect is correct, butthen go on to give another solution in the last paragraph... no sitting on the fence here.
Also USA American pennies as opposed to which other USA pennies? Are there a non-american USA variety...?
Enough nit picking for now;-)
the adjective form of "empty" means "lacking or devoid of content". As soon as the edge of the coin crosses the plane containing the slot, the bank is no longer "devoid of content" ... and therefore no longer empty. At this point, the problem statement conditions have been violated, making further compliance impossible.
Uh huh....I wouldn’t have posted this little problem if I know it would rob Chris of his name, plunge Zaux into an existential crisis and turn Knightmare into a duck ! Phew, it seemed a pretty harmless piggy bank.
And to drop the penny finally, the source (where I filched this problem from) gives 1 as answer and my vote too goes with it. DualAspect’s reasoning is excellent so I won’t try to do better.
PS: Ross, the piggy bank is not so weird. My daughter happens to own one of similar size and that’s how I ended up with these numbers. The original problem simply asked how many pennies you can put into an empty piggy bank. I added the numbers to try and take attention away from the key word ‘empty’ but as everyone can see, I failed spectacularly :)
Just saw Zaux's last post. Well, I am confused now, his argument to is valid. So for now, Cgris remains Chris, Zaux exists again and Knightmare isn't a duck anymore. At least till next post from the '1 penny camp'.
I see Zaux's point of view but I still maintain that his piggy bank has a penny in it, granted not entirely inside, but it must be in the piggy bank if the piggy bank is no longer empty.
It's all a question of language interpretation. In normal speech something can be inside something else even if it is partly sticking out.
To cite some more examples... flowers in a vase, a golf club in your hand, a drinking straw in a coke can, a person in a canoe.
The act if introducing the penny to the slot of the piggy bank is satisfying the requirment of "putting a penny into it", even if only partially.
Sorry for the typos in previous post....especially misspelling your name, Chris.
let's go get a beer and talk it over ... well ... wait... maybe we shouldn't do that, because at some point, the question will arrise as to whether we can refill our empty mugs ... ;-)
yes, I like the "1 penny" solution ... but even more, I like the idea that "as anything begins to enter an empty space, then obviously the space is no longer empty" and therefore the condition of emptiness has been violated ...
so, I think we should compromise and agree that the "no penny" solution is correct ;-)
Nice invitation Zaux, but I can't drink on an empty stomach.
BTW your definition of a compomise is about as accurate as your definition of an empty piggy bank;-)
hi Dual ...
I do hope you realize I was joking ... :)
Dual ...
I'm so glad to see you are beginning to agree with the "no penny" philosophy ... you stated "but I can't drink on an empty stomach" ... you are exactly right ... once the beer exits the esophagus, and begins to enter the stomach, you can no longer drink on an empty stomach :)
Zaux,
Yeah I knew you were kidding, as was I.
I'm glad you got the gist of my empty stomach comment, I knew you were smart really;)
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