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6.666 or 7.....

___________

Hmm... tough to crack, so to speak. Will I end up with egg-on-face? It would not be the first time. I think we could break it out this way: If in a given length of time [any length of time-- 1.5 days in this case] 1.5 hens can lay 1.5 eggs, it stands to reason that 3 hens will lay 3 eggs in the same length of time, simply by multiplying by 2. [You wouldn't multiply the time period. If one person can draw a stick figure in 2.5 seconds, 100 people can draw 100 stick figures in 2.5 seconds.] At first it seemed that you cannot add together the 'half-egg' of one 'half-hen' to the 'half-egg' of another 'half-hen' to arrive at one egg, but if you imagine two hens side-by-side and draw an imaginary line down through the middle of one of them, it becomes clearer. They each produce an egg in 1.5 days, but you are only considering half of the second hen, and half of her output.

So we have the concept that any hen lays an egg in 1.5 days. In a 7 day period, the hens will have the opportunity to complete 4 full cycles of 1.5 days each, taking 6 days out of the 7. So each of the 6 hens will have laid 4 eggs, giving 24. Each hen is also two thirds of the way to completing another egg, but those eggs are of course not yet laid, unlike the half-egg in the original statement. So I think the answer is 24 actual eggs, not counting the 6 eggs-in-production that will appear 12 hours into the 8th day. Or you could say that 6 hens will lay 30 eggs in 7.5 days.

If I have made a fool of myself, please be merciful and give me the 'coup d'omelette' as quickly and painlessly as possible. I am not so hard-boiled that I cannot be proven wrong and take it with meringue.

EDIT:

Mathematiclly

One has to set up the ratio of eggs per day and multiply by total number of days 1.5 eggs/ 1.5 days (7)=X

If you multiply this by the total days it would be easy however one also has to include the new amount of Hens.

The Formula is:

Eggs / Unit of time(Z)(A/B)=C

Z= number of total days

A= New number of Hens

B= Original Hens

C= Total Eggs for given time and Hens

exempli gratia

1.5/1.5(7)(6/1.5)=28 laid eggs

Logically

IF:

1.5 Hens In 1.5 Days Lay 1.5 Eggs ____________________________________________________________________

Than if you double the days, the same amount of

Hens will lay double the Eggs

e.g

1.5 Hens 3 days 3 eggs

Again

1.5 Hens 6 days 6eggs

Also if you double the Hens you can double the

amount of output or Eggs

3 Hens 6 days 12 eggs

Again

6 Hens 6 days 24 eggs

So one can clearly see the amount will

be slightly better than 24 eggs..

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14y ago
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15y ago

A chicken and a half lays an egg and a half --- is the same as one chicken laying one egg.

(in a day and a half)

Therefore in three days one chicken will lay two eggs.

In a week one chicken will lay 2 eggs and 2/3rds of an eggs

In three weeks one chicken will lay 8 eggs.

In three weeks 7 chickens will lay 56 eggs.

56/3 In one week 7 chickens will lay 18 eggs and 2/3rds of an egg.

But since you can't lay 2/3rds of an egg, they only lay 18 eggs.

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14y ago

28 eggs.

1.5 eggs per 1.5 hens. Same as 1 egg per 1 hen.

So, 1 egg per hen, in 1.5 days. That's 2/3 egg per day, per hen.

So, 2/3 egg/day per hen * 6 hens = 4 egg/day for 6 hens.

4 egg/day * 7 days = 28 eggs total.

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14y ago

If 1.5 hens lay 1.5 eggs, then each hen lays one egg.

So each hen lays one egg in the 1.5 days. The rate per hen is (1/1.5) = 2/3 egg per day

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14y ago

this is a pointless question

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14y ago

24

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Q: If a chicken and a half lays an egg and a half in a day and a half how many eggs will 6 chickens lay in 6 days?
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If one and a half chickens lay one and a half eggs in one and a half days How many eggs do 9 chicken lay in 9 days?

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