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?
2/2 = 1
Sorry, but that is incorrect. :(
So the total water they have is
2 + 1 3/4 gallons
= 15/4 gallons or 3.75 gallons
So in effect 3.75 gallons cost $2.00
1 gallon would cost 2/3.75 = .53...
so James should receive 2(.5333...) or
$1.07
To solve this problem, we need to first calculate the total amount of water they have and then determine how much water each of them should receive. Then, we can find out how much money James should receive.
Step 1: Calculate the total amount of water:
James brought 2 gallons of water.
Karen brought 1 3/4 gallons of water.
To add the amount of water James and Karen brought, we need to convert 1 3/4 gallons to an improper fraction. 1 3/4 can be expressed as 7/4.
So, the total amount of water they have is:
2 gallons + 7/4 gallons = 8/4 gallons + 7/4 gallons = 15/4 gallons.
Step 2: Determine how much water each of them should receive:
To divide the water equally among the three of them, we need to divide the total amount of water (15/4 gallons) by 3.
15/4 gallons ÷ 3 = 15/4 gallons × 1/3 = 15/12 gallons = 5/4 gallons.
Each of them should receive 5/4 gallons of water.
Step 3: Calculate how much money James should receive:
Lou gives $2 for the water he receives, which James and Karen agree to divide fairly between the two of them.
To find out how much money each of them receives, we divide $2 by 2 to divide it equally:
$2 ÷ 2 = $1.
So, James should receive $1.
Therefore, James should receive $1.