A chicke-and-a-half....?

Question

Please show how to solve this problem.

If a chicken-and-a-half can lay an egg-and-a-half in a day-and-a-half, how many days will it take three chickens to lay forty-four eggs?

Answer 1

the answer is
22 days


Here is how I got the answer, remember units count here

1.5 eggs/1.5 chicken/ 1.5 days X 3 chickens X z days = 44 eggs

cancel the chickens, days, and the 3 with a 1.5 to get:

1.5 eggs / 1.5 X 2 X z = 44 eggs

now divide both sides by 44 eggs to get

1.5 eggs / 1.5 X 2 X z X 1/ 44 eggs =1

cancel eggs, the 1.5s, and reduce 2 & 44 to get simple math equation
z X 1/ 22 =1 z/22 = 1
solve for z
z = 22 days

One last note: the funny ratio given is purely mathematical of course, but it tells you that it is possible for a chicken to lay more than 1 egg per day and there is more than 1 chicken on the farm. So you cannot make assumptions like 1 egg per chicken or 1 egg per day. This is why previous answers fail.

Answer 2

The chicken and a half is to let you know that this problem
has to do with fractions. First cancel out the 1/2 chicken laying the 1/2 egg.
Now it says is that 1 chicken can lay 1 egg per day.
so with 3 chickens laying, that's 3 eggs a day,

so 44eggs divided by 3 chickens = 14 and 2/3 days
or 44/3= 14 2/3 days

(Note to slykitty: what makes you think that the answer is an even number? It starts out with 1 1/2 chickens laying 1 1/2 eggs!!)

Answer 3

1 1/2 C produce 1 1/2 eggs 1 1/2 Days
2/3 [3/2 Chickens lay 3/2 eggs in 3/2 day ]
1 chicken lays 1 egg in 1 day

rate = number of chickens times number of days

Number of eggs = number of chickens ( number of hours )

3 Chickens should lay 44 eggs in 352 hours

352 hours is 14 days and 16 hours

Answer 4

What a strange farm...
Well If 1.5 chickens lay 1.5 eggs in a day.
Then 3 chickens (twice as many chickens) lay twice as many or 3 eggs per day.

woops, that said 44 not 42 [fixed]
(eggs needed)/(eggs per day) = (number of days)
44/3 = 14 2/3 days
So yes 15 days.

Answer 5

Acutally instead of 13 days it would be 15 because they are looking for 44 eggs and not 42. They would lay 44 eggs in 15 days with an extra! So its either this answer or they dont cause they would always lay an odd amount of eggs and your looking for an even number.

Answer 6

if each 1.5 chickens lay 1.5 eggs then 3 chickens will lay 3 eggs in that same day-and-a-half
setup proportion
3/44 = 1.5/d d = (40 * 1.5)/3 = 22 days

Answer 7

44/6