Logic question....?

Question

I'm stumped on this question. I originally got 20 days as my answers, but that was incorrect according to my teacher. Could someone please assist me? Thank you so much!

"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 two chickens to lay twenty eggs?"

Answer 1

1.5 chickens ---- 1.5 eggs ----- 1.5 days
1 chicken ---- 1.5 egg ----- 1.5*1.5 days
1 chicken ----- 1 egg ------ 1.5 days
2 chickens ----- 1 egg ----- 0.75 days
2 chickens ----- 20 eggs ------ 0.75*20 = 15 days

Answer 2

It takes them 15 days.

The starting point is this: the original statement implies that one chicken lays one egg in a day-and-a-half. That means that it lays two-thirds of an egg per day (on average, of course)! ###

So two chickens lay 4/3 of an egg per day. Therefore, it will take them 3/4 x 20 days = 15 days to lay 20 eggs.

Live long and prosper.

P.S. We kept four or five chickens for many years, treated them like family, let them have the run of my organic vegetable garden quite often. Our happy chickens indeed laid about 2 eggs each every 3 days, on average, so that the numbers given in this question are fairly good, in fact.

### If you prefer to work in whole numbers:

One chicken lays one egg in a day-and-a-half, so that it lays 2 eggs every 3 days.

Therefore 2 chickens lay 4 eggs every 3 days.

You want 20 eggs; it will take them 5 x 3 = 15 days.

Answer 3

If 1.5 chickens can lay 1.5 eggs in 1.5 days, then that implies that 1.5 chickens can lay 1 egg in 1 day, or 1 chicken can lay 2/3 egg in 1 day. So to get twenty eggs, you divide 20/(2/3) to get 30 "chicken days". So if you've got two chicken, it will take 15 days.

Answer 4

Is that 20 eggs each or 20 eggs combined?

Answer 5

No one realy cares whether they can lay a whole egg. one half egg is an abortion. what kind of question did the teacher have in mind?

Answer 6

1.5 chicks lay 1.5 eggs in 1.5 days
# of eggs /chick/day = (1.5/1.5)/1.5 = 1/1.5
so
# of eggs for 2 chicks per day = 2/1.5
To lay 20 eggs by 2 chicks,
# of days = 20/(2/1.5) = 20 (1.5/2) = 15

Ans = 15 days