SOLUTION: If a hen and a half, Lays an egg and a half, In a day in a half, How many eggs will six hens lay I seven days? I came up with 21. 6*1 1/2=4*7=21 Is this right?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If a hen and a half, Lays an egg and a half, In a day in a half, How many eggs will six hens lay I seven days? I came up with 21. 6*1 1/2=4*7=21 Is this right?      Log On


   

Question 562879: If a hen and a half,
Lays an egg and a half,
In a day in a half,
How many eggs will six hens lay I seven days?
I came up with 21. 6*1 1/2=4*7=21
Is this right?
Found 2 solutions by fcabanski, Alan3354:
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Use ratios.


Start with 1.5 hens laying 1,5 eggs in 1.5 days. How many eggs do 1.5 hens lay in 1.5 days.


1.5/1.5 = x/1 |cross multiply
1.5x=1.5 so x = 1


1.5 hens lay 1 egg per day. How many eggs does 1 hen lay per day?


1.5/1 = 1/x | cross multiply


1.5x = 1 so x =1/1.5 = .666666666666667 = 2/3. Each hen lays 2/3 egg per day.


6 hens lay 6*2/3 = 12/3 = 4 eggs per days.
That's 7*4 = 28 eggs in 7 days.

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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If a hen and a half,
Lays an egg and a half,
In a day in a half,
How many eggs will six hens lay I seven days?
I came up with 21. 6*1 1/2=4*7=21
Is this right?
------------------
If a hen and a half,
Lays an egg and a half,
In a day in a half,
--> 1 hen lays 1 egg in 1.5 days
6 hens lay 6 eggs in 1.5 days
6 hens lay 6*(7/1.5) eggs in 7 days
= 28 eggs
--------------
or,
1.5 eggs = 1.5 hens*1.5 days = 2.25 hen-days
1 egg = 1.5 hen-days --> 1 hen-day = 2/3 eggs
6 hen*7 days = 42 hen-days
42*(2/3) = 28 eggs