We have a total of:
[tex]10\cdot3=30[/tex]30 cups of sugar in the 10 pound bag. If we need 1 1/3 cups per batch we can make a total of:
[tex]\frac{30}{1\frac{1}{3}}=\frac{30}{\frac{4}{3}}=\frac{\frac{30}{1}}{\frac{4}{3}}=\frac{90}{4}=22.5[/tex]22.5 batches of coockies.