One and a half chickens lay one and a half eggs in one and a half days...?

Question

So how many eggs will nine chickens lay in 10 days?
This one stumped me haha.

Answer 1

this is a classic algebra problem with a deliberately tricky problem statement (the answer is 60 eggs, but the fun is in the figuring)

chicken and a half can lay and egg and a half in a day and a half

so, lets do the algebra

calculate eggs per chicken-day
one chicken-day would be one chicken laying for one day
two chicken-days could be two chickens laying for one day or one chicken laying for two days, either way, two chicken-days

so,
1.5 eggs/(1.5chickns*1.5days)=.66667 (or 2/3) eggs/chickn-day

well 9 chickns going 10 days is 90 chickn-days

2/3 eggs for every chickn-day means (2/3)*90 =60 eggs in 90 chickn-days

60 eggs

you can reason this out without algebra by realizing that if it takes 1.5 chickens to lay 1.5 eggs in a day and a half
then 1 chicken can lay 1 egg in a day and a half also
which means that in one day, one chicken lays 2/3 of an egg

in 10 days 1 chicken lays 20/3 of an egg
so 9 chickens over that time would lay 180/3 or 60 eggs

60 eggs

keep at it
math is power

Answer 2

Enginerd got it right. It's 60.

1.5 chickens lay 1.5 eggs in a 1.5 days.

The same 1.5 chickens would lay 1 egg in 1 day.

Therefore, 1 chicken would lay 2/3 of an egg per day.
(2/3 = 1/1.5)

Therefore, 9 chickens lay 6 eggs in 1 day.

So 9 chickens would lay 60 eggs in 10 days.

(Whether it's 59.999999.... or 60 depends on how you multiply it. Trying to translate 3rds into 10ths will lead to the repeating decimal places. But if you stick with 3rds, the answer is a nice round 60.)

Answer 3

10

Answer 4

Enginerd is absolutely right - the answer is fractionally shy of 60 eggs.

Here is an easier method, though. Just change one of the components to the problem and it starts making sense.

Such as: if 1.5 chickens lay 1.5 eggs in 1.5 days - just double one component
change to: given the above, how many eggs will 3 chickens lay in 1.5 days - the answer is 3

And, 9 chickens will lay 9 eggs in 1.5 days

1.5 goes into 10 [days] 6.666666666

So, 9 x 6.66666666 is 59.99999999999999

Answer 5

Chickens do not lay eggs, Hens do, so no eggs lay from chickens in 10 days.

Answer 6

Half a chicken can not lay any eggs and no chicken lays half an egg - science!@

Answer 7

90

Answer 8

sounds like you're half an egg short of a chicken mate

Answer 9

90

Answer 10

anyone knows that there is no half chickens that lay half eggs. either whole or none