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4 days ago · If a hen and a half can lay an egg and a half in a day and a half, then how much time is needed for three hens to lay three eggs?. Ans: Hint: In the given question, we have been asked to find the number of days in which 3 hens lay 3 eggs and it is gi...
Sep 1, 2017 · Given that a hen and a half can lay an egg and a half in a day and a half, if we have three hens (i.e. double the number of hens) but keep the same length of time then the number of eggs should be double, i.e. the #3# eggs we want.
- A Simple Case: How Long to Get A Dozen?
- A More Typical Version: How Many Eggs?
- One More Time: How Many Eggs?
- Finding The Rate
- Going Over The Top!
We’ll start with this from 1997: Steve had titled his email “Word problem Dad asks all the time”. Doctor Sonya answered: This is a standard way to approach a strange-looking problem: Try changing it to simpler numbers in a more familiar setting, figure out how to solve the new problem, and then apply that method to the real problem. But don’t misre...
This is from 1998: Here we are given a new number of hens, rather than sticking with the hen and a half; and this time, we’re being asked how many eggs we’ll get in a given time, rather than how long it will take. This is like the problems from last time, apart from the non-integer data. I answered, taking the same approach of trying it first with ...
Here’s one more take on the basic problem, which is almost identical: Can you see that the answer will be the same? We’ve just swapped the numbers of chickens and minutes. Doctor Roy answered, this time not using a simpler example, but turning the actual problem into a simpler one, by our trick from last time of changing two numbers at a time: We d...
Now, let’s dig a little deeper, with this question from Erryn in 2002: This time we’re asked for the rate of eggs per chicken per day. I answered this one, first referring to the first two answers above and the one we’ll see next, and then saying, Rather than give an answer at all, I gave Erryn the tools to find a way. Erryn will not, as it turns o...
How far can you take this sort of question? Consider this, from 2001: This will need some interpretation. I answered, referring to the first two answers above (and giving the formula we saw quoted above): That’s an ugly answer. Maybe we’ve misinterpreted something. Our calculation now is Hens=EggsRate×Days=10.5eggs1egg/hen-day×10.5days=1hen and we ...
May 13, 2010 · The full version in one of its many many variations: If a hen and a half can lay an egg and a half in a day and a half, how many eggs can three hens lay in three days? Assume that all hens are a-laying at the same rate.
Question 177914: 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? Answer by Mathtut(3670) (Show Source):
A hen and a half can lay an egg and a half in a day and a half = 1 hen lays 1 egg per day. To simplify it, just double it: 3 hens lay 3 eggs in 3 days = 1 hen lays 1 egg in 1 day. So 2 hens lay 12 eggs in 6 days.
The Puzzle: If one and a half hens lay one and a half eggs in one and a half days, how many eggs does one hen lay in one day? Our Solution: Find the daily rate per hen: Hens × Days × (Daily Rate) = Eggs. 1½ × 1½ × (Daily Rate) = 1½. (Daily Rate) = 1½ / (1½ × 1½) Daily Rate = 1/ (1½) = 2/3. So 1 hen in 1 day will lay two-thirds of an egg.