Question

George uses 4/5 gallon of paint to cover 3/10 of a wall. At this rate, what is the total amount of paint George will use to cover the entire wall.

Answer 1

In order to find the total amount of paint for the entire wall, we can use a rule of three:

`\begin{gathered} (4)/(5)\text{ gallons of paint}\to(3)/(10)\text{ wall} \\ x\text{ gallons of paint}\to1\text{ wall} \\ \\ ((4)/(5))/(x)=((3)/(10))/(1) \\ (3x)/(10)=(4)/(5) \\ (3x)/(2)=4 \\ 3x=8 \\ x=(8)/(3) \end{gathered}`

So it will take 8/3 gallons of paint (that is, 2 2/3) to cover the entire wall, so the correct option is the fourth one.