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Solve the Puzzle: Find the Number of Eggs in the Basket and Arrange the Circles

Put the numbers 1 through 7 into three circles so that each row of circles adds up to 12. Each number can only be used once. In addition, there are fewer than 72 eggs in a basket with specific remainders when counted in groups of 2, 3, 4, and 5. Counted out in 2's, there is 1 left over; in 3's, there are 2 left over; in 4's, there are 3 left over; and in 5's, there are 4 left over. Can you deduce the exact number of eggs in the basket?

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Solve the Puzzle: Find the Number of Eggs in the Basket and Arrange the Circles

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  1. Puzzle A Puzzle B

  2. Put the numbers 1, 2, 3, 4, 5, 6, 7 into the circles, so that each row of 3 circles adds up to 12. You can only use each number once!

  3. There are less than 72 eggs in a basket. Counted out in 2’s, there is 1 left over. Counted out in 3’s, there are 2 left over. Counted out in 4’s, there are 3 left over. Counted out in 5’s, there are 4 left over. How many eggs are in the basket?

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