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To determine how many pounds of flour Eric should use for 1 cup of sugar, it is necessary to find the conversion ratio between cups of sugar and pounds of flour.
The recipe states that for every 1/4 cup of sugar, 2 1/2 pounds of flour are needed.
To find the conversion ratio, divide 2 1/2 pounds by 1/4 cup:
2 1/2 divided by 1/4 = (5/2) divided by (1/4) = (5/2) x (4/1) = 10
Therefore, for every 1 cup of sugar, Eric should use 10 pounds of flour.