James, Karen, and Lou are hiking. Lou forgot to bring any water. James brought 2 gallons of water and Karen brought 1 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?

Respuesta :

Answer:

James will get $1.20.

Step-by-step explanation:

We have been given that James brought 2 gallons of water and Karen brought 1 3/4 gallons of water.

First of all, we will find amount of water per person by dividing 2 gallons plus 1 3/4 (1.75) gallons by 3.

[tex]\text{Amount of water per person}=\frac{2+1.75}{3}[/tex]

[tex]\text{Amount of water per person}=\frac{3.75}{3}[/tex]

[tex]\text{Amount of water per person}=1.25[/tex]

James will keep 1.25 gallons and given 0.75 gallon to Lou.

[tex]\frac{0.75}{1.25}\times 100=\frac{3}{5}\times 100=60\%[/tex]

This means James gave 40% of Lou's water to him, so James will get 60% of $2.

[tex]\frac{60}{100}\times\$2=0.60\times\$2=\$1.20[/tex]

Therefore, James will get $1.20.