Mike asks Billy to help him run his lemonade stand. He’ll either pay him 2/5 of ½ of the

Mike asks Billy to help him run his lemonade stand. He'll either pay him
2/5 of ½ of the

Mike asks Billy to help him run his lemonade stand. He'll either pay him
2/5 of ½ of the stand's profits, or 1/3 of ¾ 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?
Billy should choose 1/3 of ¾; he'll earn 1/15 more.
Billy should choose 1/3 of ¾; he'll earn 1/20 more.
Billy should choose 2/5 of ½; he'll earn 1/15 more.
Billy should choose 2/5 of ½; he'll earn 1/20 more.
It doesn't matter; either way, Billy will earn exactly the same amount.
Source: http://www.transtutors.com/questions/math-help-327246.htm