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To find out which size bag is cheaper per pound, we need to calculate the price per pound for each bag.
For the 40 pound bag: $30.99 / 40 pounds = $0.7748 per pound
For the 10 pound bag: $12.98 / 10 pounds = $1.298 per pound
Rounded to the nearest penny, the price per pound for the 40 pound bag is $0.77 and for the 10 pound bag is $1.30.
Therefore, the 40 pound bag is cheaper per pound.