Last Monday, an egg farm sold 60% of its eggs to supermarkets. 30% of the remaining eggs were donated to a charity home and the rest were sold to restaurants. The charity home received 780 eggs. How many eggs were sold to supermarkets?
Question
Last Monday, an egg farm sold 60% of its eggs to supermarkets. 30% of the remaining eggs were donated to a charity home and the rest were sold to restaurants. The charity home received 780 eggs. How many eggs were sold to supermarkets?
Solution
To solve this problem, we need to work backwards from the information given.
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We know that the charity home received 780 eggs, which represents 30% of the remaining eggs after 60% were sold to supermarkets.
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To find out the total number of remaining eggs, we can set up the equation 30/100 * X = 780, where X is the total number of remaining eggs. Solving for X gives us X = 780 / (30/100) = 2600 eggs.
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This means that after selling 60% of its eggs to supermarkets, the farm had 2600 eggs left.
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To find out the total number of eggs the farm had originally, we can set up the equation 40/100 * Y = 2600, where Y is the total number of eggs. Solving for Y gives us Y = 2600 / (40/100) = 6500 eggs.
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Therefore, the farm sold 60% of 6500 eggs to supermarkets, which is 60/100 * 6500 = 3900 eggs.
So, the farm sold 3900 eggs to supermarkets.
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