Question

Mike asks billy to help him run his lemonade stand. he’ll either pay him 2525 of 1212 of the stand’s profits, or 1313 of 3434 of the stand’s profits. which should billy choose to maximize the amount he will earn, and by what amount will his earnings be increased?

Answer 1

Billy should choose the higher percentage from the two choices. In mathematics operation, the word “of” means multiplication, therefore:

Choice 1: 2/5 of ½ Total = (2/5)(1/2) = 2/10 = 0.2
20% of stand’s profit

Choice 2: 1/3 of ¾ Total = (1/3)(3/4) = 3/12 = 0.25
25% of stand’s profit

Therefore Billy should choose choice#2: 1/3 of ¾.

The increase is 5%.