Tricky Math question?

Question

My Physics teacher wanted me to think so he asked, "If a chicken-and-a-half can lay an egg-and-a-half in a day-in-a-half, how many days will it take one chicken to lay one egg?

A. A chicken will lay a dozen eggs in eight days.

B. A chicken will lay a dozen eggs in twelve days.

C. A chicken will lay a dozen eggs in nine days.

D. A chicken will lay a dozen eggs in eighteen days.

E. A chicken will lay a dozen eggs in sixteen days.

F. A chicken will lay a dozen eggs in two-thirds of a month.

G. A chicken will lay a dozen eggs in 24 days.

H. A chicken will lay a dozen eggs in six days.

Assume a month is 30 days. Please explain your reasoning. Ten Points for the most thoughtful answer. Thanks.

Answer 1

i'm completely serious its a trick question its the start of the year this is ti pickle  pick I. one chicken will lay one egg in one day none of the other answers answer what he is asking they answer how many days will it take a chicken to lay a dozen eggs. iether that or hes looking for none a chicken doesnt lay eggs a hen  does

Answer 2

B

if a chicken and a half lays an egg in a hlf in a day in a half, the ratio is

1.5:1.5:1.5, which is equal to 1:1:1, whih means one egg per chicken per day, so in 12 days the chicken will lay 12, or a dozen eggs.

or it is a trick question, and it could be that chicken dont lay half-eggs

Answer 3

If a chicken and a half can lay an egg and a half in a day and a half,

the same chicken and a half will lay twice the amount in twice a day and a half, which is 3 eggs in 3 days.

So, a chicken and a half will lay 3 eggs in a 3 days.

If a chicken and a half can lay 3 eggs in 3 days, the same chicken and a half will lay 1 egg in 1 day.

If a chicken and a half can lay 1 egg in a day, just a chicken will lay 2/3 of an egg in 1 day (weird).

=>3/2 chickens : 1 egg

    1 chicken : e egg

e = 1*1/3/2=2/3 eggs

Therefore, if a chicken lays 2/3 eggs in a day, it will lay 1 egg in 3/2 days or in a day and a half.

In order to lay a dozen eggs it will need 12 time the number of days it takes to lay an egg.

=>1 egg: 3/2 days

    12 eggs : d days

d = 12*3/2 = 18

So, a chicken will lay 12 eggs in 18 days. The answer is D.

Answer 4

Choice D.

1.5C  x 1.5D = 1.5E   Where C = Chicken, D = Days, and E = Eggs.

(9/4)CD = (3/2)E

CD = (2/3)E

C = ( (2/3)E ) / D          If one chicken lays 2/3 of an egg per day, then in 18 days she will have laid 18(2/3) = 12 eggs.

Of course, the question was how long it would take for one chicken to lay one egg.

Multiplying the quotient on the right side of the equation above by 1 in the form of (3/2) / (3/2) yields the following:

C = E / ( (3/2)D )  It will take one chicken 3/2 or 1.5 days to lay an egg.  Since this choice was never given, I'm not sure how I would answer the teacher.  Being a math teacher myself, I would probably heckle him. ;)

Answer 5

half a day. The whole chicken is laying eggs at 'a-day-in-a-half' and the half chicken is laying half an egg in the same time. removing a half chicken will not effect the others laying ability. Notice also 'a-day-in-a-half' half a day, not a day AND a half. Therefore the whole chicken lays one egg in half a day so the answer is H.  

Answer 6

D, eighteen days.

x=chicken

1.5x = 1.5eggs/1.5days

1.5x=1egg/day

x=1egg/1.5days

multiply by 12 to get 12 eggs and eighteen days