If a hen and a half lays an egg and a half in a day and a half, how many eggs will six hens lay in six days?
4 times as many hens
4 times as many days
you get 16 times as many eggs.
16 * 3/2 = 24 eggs
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Notice that Steve got the same answer.
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To find the number of eggs six hens will lay in six days, we need to figure out the rate at which a hen lays eggs and how many eggs one hen lays in a day.
From the given information, we know that a hen and a half lay an egg and a half in a day and a half. Let's break it down further:
- In 1 day and 1/2 a day (which is equivalent to 3/2 days), a hen and a half lay an egg and a half.
- This means that in 1 day (equivalent to 2/2 days), a hen and a half would lay 2/3 of an egg.
Now, let's calculate how many eggs one hen would lay in a day:
- If a hen and a half lay 2/3 of an egg in 1 day, then one hen would lay (2/3) รท (3/2) = 2/3 * (2/3) = 4/9 of an egg in 1 day.
So, one hen can lay 4/9 of an egg in 1 day. Now, we can find out how many eggs six hens will lay in six days:
- In 1 day, six hens would lay 6 * (4/9) = 24/9 = 8/3 eggs.
- In six days, six hens would lay 6 * (8/3) = 16 eggs.
Therefore, six hens will lay 16 eggs in six days.