## Math Brain Teaser with a Hen

If a hen and a half lay an egg and a half in a day ~~in~~ and a half, how many eggs will six hens lay in seven days?

In order for your brain to get the most exercise and benefit from these puzzles, really try to come up with the answer on your own before scrolling down to the comments below.

Joe| Guest May 6th, 2007 - 8:24 pm(1.5 hens)*(1.5 days)=(1.5 eggs)

2.25(hens*days)=(1.5 egg)

(1 hen*1 day)=(2/3) egg

6*7*((1hen*1day)=(2/3) egg)

42(hens*days)=28 eggs

They’ll lay 28 eggs.

Christine| Guest May 7th, 2007 - 12:29 am(1.5 Hens) => (1.5 Eggs) =>(1.5 Days)

3H => 3E =>1.5D

6H => 6E =>1.5D

6H => 12E =>3D

6H =>4E =>1D

6H => XE =>7D

=> 6 Hens => 4 * 7 = 28 Eggs => 7 Days

Michael| Guest May 7th, 2007 - 2:28 pm1.5H x 1.5D = 1.5E

1.5(H x D) = 1.5E

H x D = E

6 x 7 = 42 eggs

Rhys| Guest May 7th, 2007 - 5:27 pm7. Duh. =P

coupland| Guest May 7th, 2007 - 8:06 pmTrick question. Hens don’t lay eggs, they lay roosters.

Kyle| Guest May 8th, 2007 - 4:12 pmThe hens and the eggs are variables and the days are your constants. So, six hens will lay six eggs in a day and a half. Now, on the third day, double the amount of eggs you have to get 12 eggs. On the sixth day double 12 to get 24. By the end of the seventh day (from the beginning) the hens will have layed 2/3 of an egg each. Take 2/3*6 to get 4 total, 4+24=28 eggs. Booyaka.

Prairie Kittin| Guest May 9th, 2007 - 3:25 amIf one and a half hens lays one and a half roosters, how many eggs will the hen and a half lay in one and a half day?

And, what happens to the half rooster? Does he go off half cocked?

:-P

(I will understand if this post gets moderated out! ROFL!!!)

PK

Richard| Guest May 9th, 2007 - 6:35 amOr do it like your head would do it.

1.5 hens output 1.5 eggs in 1.5 days

1.5 hens output 1.0 eggs in 1.0 days

6.0 hens output 4.0 eggs in 1.0 days

4.0 * 7.0 = 28.0 eggs in 7 days

Carl| Guest May 9th, 2007 - 7:40 amI was gonna write out the response, but I would write the same formula as Michael. The other responses remind me of what Bush calls “fuzzy math”

42 eggs would be my answer

Luc Lodder| Guest May 9th, 2007 - 2:07 pmYou all miss the word IN in the first sentence.

It say: “…in a day IN a half..”

And not: “…in a day and a half..”

So… I would say:

1,5 hens lay in 0,5 day = 1,5 eggs

so 1,5 eggs are done in 12 hours by 1,5 hen.

so 1,5 eggs are done in 8 hours by 1 hen.

one hen can lay 3 eggs in 1 day (8×3=24)

so 6 hens lay 6×3=18 eggs a day

And in 7 day’s that is 7×18=126 eggs

Adam| Guest May 9th, 2007 - 3:44 pmWell, if 1.5 hens produce 1.5 eggs within any time frame, I think it’s much easier to start out realizing that 1 hen would lay 1 egg in the same time frame.

(This is assuming the 1 hen is not stressed out from missing his halfling of a friend… of course not having a mangled half of hen next to you might also increase your productivity… but I digress.)

Anyway, given that the time frame is 1.5 days, 6 hens would obviously lay 6 eggs in 1.5 days.

So to find out how many eggs these same 6 hens would produce in 7 days, you just solve for X in the following equation:

6 / 1.5 = X / 7

So every 7 days, these 6 hens would produce 28 eggs.

RLP| Profile May 9th, 2007 - 6:19 pmAs Luc points out, ‘in’ should’ve been typed ‘and’. Sorry about that

Jim| Guest May 11th, 2007 - 4:42 amIs it

1.5E=1.5C=1.5D

1E=1C=1D

therefore

7D=6 1/6E

Jim| Guest May 11th, 2007 - 4:56 amerr… no I don’t think it is

1c = 1e =1d

6c = 6e * 7d = 42e

Maybe….?

steven| Guest May 14th, 2007 - 12:50 pm1.5 days / 1 egg from each hen

7 / 1.5 = 4.666666666…. eggs per hen per 7 days

4.666666666666…. * 6 = 28 eggs

Leonard| Guest May 25th, 2007 - 11:17 amSince it takes 1.5 days for 1.5 hens to lay 1.5 eggs, 6 hens will lay 6 eggs per 1.5 days. With only 4 full 1.5 days within 7 days, I think there should be 24 eggs (6 eggs x 4 days) in total.

Luc Lodder| Guest May 27th, 2007 - 4:31 pmWell, changing the IN in AND is not fair, now I have to recalculate

fantabulous| Guest May 28th, 2007 - 10:32 pm24 eggs in effectively 6 days only because on the 7th day they still cannot produce the next set of 1 and half egg.

Ian Mckinnon| Guest June 4th, 2007 - 3:21 pmi got 42 somehow.

keith| Guest July 12th, 2007 - 4:58 amits 28

Hen Puzzle Redux - Smartkit Brain Enhancement News| Guest August 12th, 2007 - 1:42 pm[…] [submitted by a reader who liked this brain teaser] […]

Sarah Al Taher| Profile June 28th, 2010 - 5:09 pmeach egg needs day and a half so 7 days 4 (1.5) or : [7/1.5] = [4.67] = 4

six hens>>>> 4*6=24 eggs.