Enfynet

<< wn3d: :bang:

Ok... How about...

++Counterfeit Coin Puzzle:
There are ten stacks of ten silver dollars. You are given the weight of a real silver dollar, and are told that each counterfeit coin weighs one gram more than a real coin. You also know that one of the stacks (all ten coins) is completely counterfeit. You are given a scale that measures in grams. What is the minimum number of weighings needed to determine the counterfeit stack?

HastaLaVista

Is the scale a single scale (like a bathroom scale) or a balance scale (with two trays)?

Enfynet

Single scale

rrobello

aight I am a little thrown by the question of what is the minimum number of wieghs you get, I guess if you get lucky only two, but I think it shouldve been worded whats the max you would need and that would be at most 4 wieghings. but I have to give it a little more thought to confirm that.

rrobello

no wait I made that harder than it should be the answer is you take one single measurement sorry

I will wait to post why so others can ponder it a bit to see if I am right.

Enfynet

You're right... 1 measurement. Anyone else want to take a stab at why?

HastaLaVista

I can tell you why as well, has to do with an increasing sequence, but will wait if someone else wants to take a shot.

rrobello

ok gonna kill this one and move one, here is the solution as to why it only takes one......

you weigh one coin from the first stack, two from the second, three from the third and so on, weigh them all at the same time and whatever the amount it is off that is the stack of fake coins, ie. if the wieght is 7 grams too heavy then the fake stack is the stack of 7 coins.

Enfynet

We have a... um... multiple winners!

Ok, more fun...
Lewis Carroll- Pillow Problem #8:
Some men sat in a circle, so that each had 2 neighbors; and each had a certain number of shillings. The first had one shilling more than the second, who had one shilling more than the third, and so on. The first gave one shilling to the second, who gave two to the third, and so on, each giving one shilling more than he recieved, as long as possible. There were two neighbors, one of whom had 4 times as much as the other. How many men were there? And how much did the poorest man start with?

rrobello

I cant play along on this one, I am already familiar with Lewis Carrol's Pillow Problems and no the answer......

`Twas brillig, and the slithy toves
Did gyre and gimble in the wabe:
All mimsy were the borogoves,
And the mome raths outgrabe.

"Beware the Jabberwock, my son!
The jaws that bite, the claws that catch!
Beware the Jubjub bird, and shun
The frumious Bandersnatch!"

He took his vorpal sword in hand:
Long time the manxome foe he sought --
So rested he by the Tumtum tree,
And stood awhile in thought.

And, as in uffish thought he stood,
The Jabberwock, with eyes of flame,
Came whiffling through the tulgey wood,
And burbled as it came!

One, two! One, two! And through and through
The vorpal blade went snicker-snack!
He left it dead, and with its head
He went galumphing back.

"And, has thou slain the Jabberwock?
Come to my arms, my beamish boy!
O frabjous day! Callooh! Callay!'
He chortled in his joy.

`Twas brillig, and the slithy toves
Did gyre and gimble in the wabe;
All mimsy were the borogoves,
And the mome raths outgrabe.

holderca1

Wow, suprised your teacher was stumped that long on this. If A=B, you cannot divide both sides by ( A - B ), since you cannot divide both sides by 0.

rrobello

since when do teachers no anything, you take away their big smarty pants books with all the answers and then what, whos the smart one now????

my friends and I use to mess with a lot of our teachers just for fun because we were bored in class, and now come to think about it, it just so happens that it mostly was the math teachers, oh we really messed with our AP Calc teacher....lol
and I did have some really great teachers that are real smart.

anyway back to the problem at hand, someone solve it soon I want back in on the action.

SurfnSoCal

Ok, here we go:

If you use a certain formula on 13, you end up with 7.

Under the same formula, 2352 becomes 16, 246 becomes 14, 700 turns into 16, and 1030 becomes 14.

What would 9304 become?

SurfnSoCal

ok, and one more to keep everyone busy who got the first one:

While on your interplanetary vacation, you decide to stop at the planet Quocorri, a planet known for its many mathematical achievements.

While there, you decide to pick up on some of the Quocorrians mathematical variations. The Quocorrians won't tell you exactly how it works, only that it has some relationship to the Standard English math. They also give you four, true, Quocorrian math problems. They are:

2+2=9
4*1=1
5-2=16
-3+2=64

So, according to this system, what is 6/2?

rrobello

ok while my food cooks, Ill take a look at Surfns new post.....

OMG, your such a computer geek, well I guess I am as well since I get it....lol.

the answer is 19. Ill be back in a bit to look at your next one, how about answering the Lewis Carroll one already for crying out loud, oh and since Surfn loved the last poem here is my favorite from Lewis Carroll.

The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright --
And this was odd, because it was
The middle of the night.

The moon was shining sulkily,
Because she thought the sun
Had got no business to be there
After the day was done --
'It's very rude of him.' she said,
'To come and spoil the fun!'

The sea was wet as wet could be,
The sands were dry as dry.
You could not see a cloud, because
No cloud was in the sky:
No birds were flying overhead --
There were no birds to fly.

The Walrus and the Carpenter
Were walking close at hand:
They wept like anything to see
Such quantities of sand:
'If this were only cleared away,'
They said, 'it would be grand.'

'If seven maids with seven mops
Swept it for half a year,
Do you suppose,' the Walrus said,
'That they could get it clear?'
'I doubt it,' said the Carpenter,
And shed a bitter tear.

'O Oysters, come and walk with us!
The Walrus did beseech.
'A pleasant walk, a pleasant talk,
Along the briny beach:
We cannot do with more than four,
To give a hand to each.'

The eldest Oyster looked at him,
But never a word he said:
The eldest Oyster winked his eye,
And shook his heavy head --
Meaning to say he did not choose
To leave the oyster-bed.

Out four young Oysters hurried up.
All eager for the treat:
Their coats were brushed, their faces washed,
Their shoes were clean and neat --
And this was odd, because, you know,
They hadn't any feet.

Four other Oysters followed them,
And yet another four;
And thick and fast they came at last,
And more, and more, and more --
All hopping through the frothy waves,
And scrambling to the shore.

The Walrus and the Carpenter
Walked on a mile or so,
And then they rested on a rock
Conveniently low:
And all the little Oysters stood
And waited in a row.

'The time has come,' the Walrus said,
'To talk of many things:
Of shoes -- and ships -- and sealing wax --
Of cabbages -- and kings --
And why the sea is boiling hot --
And whether pigs have wings.'

'But wait a bit,' the Oysters cried,
'Before we have our chat;
For some of us are out of breath,
And all of us are fat!'
'No hurry!' said the Carpenter.
They thanked him much for that.

'A loaf of bread,' the Walrus said,
'Is what we chiefly need:
Pepper and vinegar besides
Are very good indeed --
Now, if you're ready, Oysters dear,
We can begin to feed.'

'But not on us!' the Oysters cried,
Turning a little blue.
'After such kindness, that would be
A dismal thing to do!'
'The night is fine,' the Walrus said,
'Do you admire the view?'

'It was so kind of you to come!
And you are very nice!'
The Carpenter said nothing but
'Cut us another slice-
I wish you were not quite so deaf-
I've had to ask you twice!'

'It seems a shame,' the Walrus said,
'To play them such a trick.
After we've brought them out so far,
And made them trot so quick!'
The Carpenter said nothing but
'The butter's spread too thick!'

'I weep for you,'the Walrus said:
'I deeply sympathize.'
With sobs and tears he sorted out
Those of the largest size,
Holding his pocket-handkerchief
Before his streaming eyes.

'O Oysters,' said the Carpenter,
'You've had a pleasant run!
Shall we be trotting home again?'
But answer came there none --
And this was scarcely odd, because
They'd eaten every one.

HastaLaVista

A little unclear on the wording. Did the person start off with 4 times what his neighbor have or end up with 4 times what his neighbor had?

rrobello

its the end result so at the end one person will have 4 times as much as their neighbor......

and hmmm this next one is pretty good Surfn, I wonder how long it took you to solve it, I am giving it some thought and think I might almost have it but dont want to be the one always spoiling it for everyone else, so I am going to wait until we are all caught up to the same one first before giving it much more thought, thanks though, I just hope I can refrain from doing it, its going to bother me for sure.

rrobello

ok I couldnt help myself, I had to go ahead and solve it but I will hold off on posting the answer to give everyone else some fun, lets go guys, you all started out so strong too, you giving up on me?

SurfnSoCal

the one about the other planet's math took me some time...about an hour (5 min. in there of throwing a temper tantrum) but it came to me.

rrobello

an hour????? it took me about 10 minutes to get started on the right path and then had it about 5 minutes later

I actually thought at first it was going to take me a while when I first looked at it, but it was a good one, had the wheels turning for sure.