One hen lays one egg a day, so if you want 1,000 eggs in one day you would need 1,000 hens.
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Since the number of chickens and eggs are the same, you can simplify both to one. Therefore, a chicken can lay an egg every day and a half. 6/1.5=4, therefore it would take four hens.
The answer is 2 eggs. Solution #1: Let's get some whole numbers. If we double the number of chickens, we get twice the production. So, 3 hens lay 3 eggs in 1.5 days. If we double the days, we double the production again. So, 3 hens lay 6 eggs in 3 days. Now, divide by 3 to get one hen's production: 2 eggs. Solution #2: To get eggs per hen per day: 1.5 eggs / 1.5 hens / 1.5 days. 1.5 / 1.5 = 1; 1 / 1.5 = 2/3. Now, multiply by 3 days: 2/3 x 3 = 2 eggs.
This implies a hen and a half would lay 3 eggs in 3 days. Therefore 3 hens would lays 6 eggs in 3 days. So one hen would lay 2 eggs in 3 days. Or one egg every day and a half.