Answer :
First let's find the amount of sugar used for the cake.
If she bought 3/4 pound and used 2/5 of this, she used:
[tex]\frac{2}{5}\cdot\frac{3}{4}=\frac{3}{10}[/tex]So she used 3/10 pound for the cake. If she ate 1/4 of the cake, we have the following product for the amount of sugar she ate:
[tex]\frac{1}{4}\cdot\frac{3}{10}=\frac{3}{40}[/tex]So she ate 3/40 pound of sugar. Converting this amount to ounces, we have:
[tex]\frac{3}{40}\cdot16=\frac{3}{5}\cdot2=\frac{6}{5}=1\frac{1}{5}[/tex]1 1/5 ounces is less than 1 1/2 ounces, so the answer is no, she didn't eat more than 1 1/2 ounces of brown sugar.
