James, Karen, and Lou are hiking. Lou forgot to bring any water. James brought 2 gallons of water and Karen brought 1 and 3/4 gallons of water. The three of them agree to divide all the water equally among them. Lou gives $2 for the water he receives, which James and Karen agree to divide fairly between the two of them. How much money should James receive?

2 answers

How much do they have?

2 + 1 3/4 = 3 3/4 = 15/4

each gets (15/4)/3 = 5/4

James put in 2/(15/4) of the total
=8/15

Karen put in (7/4)/(15/4) = 7/15 of total

James (8/15) * $ 2 = $ 1.07

Karen (7/15) * $ 2 = $ 0.93
2 + 1 3/4 = 3 3/4 = 15/4

each gets (15/4)/3 = 5/4

James put in 2/(15/4) of the total
=8/15

Karen put in (7/4)/(15/4) = 7/15 of total

James (8/15) * $ 2 = $ 1.07

Karen (7/15) * $ 2 = $ 0.93