Classic - hens and eggs
This is a classic puzzle with different twist.
A chicken farmer has figured out that a hen and a half can lay an egg
and a half in a day and a half.
How many hens does the farmer need to produce 30 dozen eggs in 2 weeks?
A chicken farmer has figured out that a hen and a half can lay an egg
and a half in a day and a half.
How many hens does the farmer need to produce 30 dozen eggs in 2 weeks?
posted by Ragknot at
9:05 PM
6 Comments:
I get 38 5/7 hens.
1.5 egg/1.5 hen/1.5 day
= 2/3 egg/hen/day
2/3 egg/hen/day * 14 days
= 28/3 egg/hen
3/28 hen/egg * 360 egg
= 1080/28 hen
= 38 5/7 hen
I actually make it 38 4/7 hens.
Put it another way, 39 hens will give you 6 over your target yield in 2 weeks.
The calculation seems quite straightforward to me. But if there's a twist in this I'm worried . . .
I come up with 26 hens required. 3 eggs from 3 hens per 3 days, or boiled down (geddit!!??!!) 1 egg per hen per day. 360 eggs required over 14 days = 25.71, 26 hens (unless there is a chicken with a missing leg or two?)
Next I checked Ross and Wizard of Oz's answers and thought.... hmmm breakfast time. More thought required.....
Eggs Benedict for breakfast. Mmm-Mmm.
1.5 chicks = 1.5 eggs over 1.5 days
1.5 chicks = 3 eggs over 3 days
3 chicks = 6 eggs over 3 days
1 chick = 2 eggs over 3 days
1 chick = 9.333 eggs over 14 days
38.57 chicks = 360 eggs over 14 days
39 chicks it is then.
Although, 26 chickens x 1.5 eggs = 39 eggs per 1.5 days, which over 14 days becomes 363.9999 eggs
I need a bigger breakfast....
The Classic part is ... "A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half." the rest I just made up. People get confused with a half of a hen and a half egg. To make more sense just think of these as averages.
The equation is Hens * Days * Rate = Eggs (The rate is eggs per hen per day)
The rate is then Rate = Eggs/Hens/Days = 2/3
So the Classic part and the "twist" have the same rate.
The logical answer is 39 hens, but the "math" answer is 38 and 4/7.
If you can't think of a puzzle to submit, change up a classic just a bit and post it please. We need to get ToM going.
I wish my hens would average laying 1.5 eggs per 1.5 hens per 1.5 days :( Maybe I should come up with a puzzle of what to do with them because they are not ...
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