PLAY How many eggs?

Someday, when you have a lot of patience, walk me through it.
My Grandpa Del pulled a related stunt on me. "If a hen and a half lays an egg and a half in a day and a half, how many eggs will six hens lay in seven days?" For years, I drew pictures, did the math, and usually came up with 42. He always said, "No, that's not the answer."
If your hen collective lays an egg and a half in a day and a half, it lays an egg in a day. You have four hen collectives in those six hens, so they lay four eggs per day between them. Four eggs per day for seven days.
28.
 

bassgirl

Veteran Member
Tetn = (1/6) n(n+1)(n+2)
Pyrn = Tetn-1 + Tetn = (1/6)(n-1)n(n+1) + (1/6)n(n+1)(n+2) = (1/6)n(n+1)(2n+1)
Sum of integers squared (very partial quote)

n=4.

Tet4 = 4x5x6/6 = 20 if the figure is hollow behind
Pyr4 = 4x5x9/6 = 30 if the figure is symmetrical behind.

Of course, this is ridiculous, but if you had 10 rows it's not so ridiculous.

Tet10 = 10x11x12/6 = 220
Pyr10 = 10x11x21/6 = 385


I do not speak Klingon
 

#1 oldskool

"You finally really did it. You maniacs!
Jeesh.........! Has this mindless banter not been sent to the 'coarkboard' yet?!?!?!?!?! Talk about keeping the main for breaking news...................SMDH
 

cyberiot

Rimtas žmogus
If your hen collective lays an egg and a half in a day and a half, it lays an egg in a day. You have four hen collectives in those six hens, so they lay four eggs per day between them. Four eggs per day for seven days.
28.

I'll be danged . . .

Gonna play with that in the morning over coffee.

Thank you!
 

tanstaafl

Has No Life - Lives on TB
No one has considered the second hint yet (or at least they didn't answer that way). The picture also clearly states "about 95% will fail." If you make the assumption that since nothing but complete eggs are pictured that there are no fractional eggs allowed, then the minimum number would have to be 20 eggs and the maximum would be infinity (as long as you can divide infinity by 20). Or not.
 

West

Senior
There's enough eggs to feed family and dogs.

And that's all that really matters.

Of note, add a bit of water when scrambling eggs, and try not to beat them to death once you start cooking them. Like small omelets. Taste better that way.

Also the/my best salsa for scrambled eggs or pork tips, etc... is..

Made mostly with tomatillos that now grow wild at our homestead.

 

artichoke

Greetings from near tropical NYC!
My Grandpa Del pulled a related stunt on me. "If a hen and a half lays an egg and a half in a day and a half, how many eggs will six hens lay in seven days?" For years, I drew pictures, did the math, and usually came up with 42. He always said, "No, that's not the answer."

One day, he left to pick up his dogs at The Rainbow Bridge, and took his answer with him. Dennis: DO NOT go to The Bridge until you properly end this!
So a hen lays an egg in a day and a half, or 10.5 eggs in 7 days. Six hens lay 63 eggs in 7 days.

I got a factor of one and a half more than you. And 9/4 (one and a half, squared) times as much as Profit of Doom who said 28.
 

cyberiot

Rimtas žmogus
So a hen lays an egg in a day and a half, or 10.5 eggs in 7 days. Six hens lay 63 eggs in 7 days.

I got a factor of one and a half more than you. And 9/4 (one and a half, squared) times as much as Profit of Doom who said 28.

No--it's a hen and a half that lays the egg and a half. I assumed a 1:1 ratio--ergo, my answer of 42--but am working on Profit of Doom's concept of a collective. Crude pictures of fractional chickens are being sketched on the back of my junk mail as we speak. I'm beginning to see the logic of the approach, but I don't own it yet.

Maffs is hard.

1631198268765.png
 
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cyberiot

Rimtas žmogus
If you can't reduce the equation to simple terms, you might as well cast bones to find the answer.

Agreed. But you reduced the wrong equation when you said, "a hen lays 2/3 of an egg a day."

FWIW, I've been known to rewrite questions on essay exams to clarify what is called for. Actually got away with it in history and poli sci, but the math people were not amused.
 

bw

Fringe Ranger
Agreed. But you reduced the wrong equation when you said, "a hen lays 2/3 of an egg a day."

1.5 hens lays 1.5 eggs in 1.5 days. So 1.5 hens lays 1 egg per 1 day. Reduce that to 2/3: 1 hen lays 2/3 egg per day. QED.
 

phloydius

Veteran Member
There are 4 popular answers so far that seem to have merit:
  • 4 sided pyramid: 30 (or 31 including the egg in the question)
  • 3 sided pyramid: 20 (or 21 including the egg in the question)
  • 2-D Picture: 16 (or 17 including the egg in the question)
  • White Eggs Only (Numbers based on the three options above)
Here is an answer I have not heard yet:

  • The question actually could be read as "How many Eggs Eggs?" Which means that which ever view you took above, would be divided by 2 (so 15, 10, or 8).

*tosses grenade in middle of room*

Discuss.
 

cyberiot

Rimtas žmogus
1.5 hens lays 1.5 eggs in 1.5 days. So 1.5 hens lays 1 egg per 1 day. Reduce that to 2/3: 1 hen lays 2/3 egg per day. QED.

Ah . . . I see now what you're doing. Thank you for the clarification.

Time for more coffee . . .
 
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