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Answer to Q20

If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?

This is a trick question because many people will assume since it takes 1½ hens 1½ days to make 1½ eggs that it will take 1 hen 1 day to make 1 egg. This is wrong on so many levels!

It's like saying if it takes 2 people 2 days to make 2 cars, it will take 1 person 1 day to make 1 cars. Capital No (and that's why many fell for the answer 36)! It will take 1 person 1 day to make ½ car. Think about it! It will take 1 person 2 days to make 1 car.

Back to question, we have to find out how many eggs 1 hen can make in 1 day.

Well, it will take 1 hen 1½ days to make 1 egg, agreed?

So it will take 1 hen 1 day to make (1 ÷ 1½)eggs

So 6 hens will make 6 x (1 ÷ 1½) eggs in 1 day

And 6 hens will in 6 days make 6 x 6 x (1 ÷ 1½) eggs = 24 eggs

Answer: 24

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401 viewsAug 8, 2019 at 12:49

Answer to Q20

If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?

This is a trick question because many people will assume since it takes 1½ hens 1½ days to make 1½ eggs that it will take 1 hen 1 day to make 1 egg. This is wrong on so many levels!

It's like saying if it takes 2 people 2 days to make 2 cars, it will take 1 person 1 day to make 1 cars. Capital No (and that's why many fell for the answer 36)! It will take 1 person 1 day to make ½ car. Think about it! It will take 1 person 2 days to make 1 car.

Back to question, we have to find out how many eggs 1 hen can make in 1 day.

Well, it will take 1 hen 1½ days to make 1 egg, agreed?

So it will take 1 hen 1 day to make (1 ÷ 1½)eggs

So 6 hens will make 6 x (1 ÷ 1½) eggs in 1 day

And 6 hens will in 6 days make 6 x 6 x (1 ÷ 1½) eggs = 24 eggs

Answer: 24

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