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.

George uses 45 gallon of paint to cover 310 of a wall At this rate what is the total amount of paint George will use to cover the entire wall class=

Respuesta :

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

[tex]\begin{gathered} \frac{4}{5}\text{ gallons of paint}\to\frac{3}{10}\text{ wall} \\ x\text{ gallons of paint}\to1\text{ wall} \\ \\ \frac{\frac{4}{5}}{x}=\frac{\frac{3}{10}}{1} \\ \frac{3x}{10}=\frac{4}{5} \\ \frac{3x}{2}=4 \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}[/tex]

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.

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