Respuesta :
Answer:
[tex]\frac{3}{10}[/tex] gallons.
Step-by-step explanation:
Let x represent the gallons of paint needed.
We have been given that Kim painted 2/3 of her room using 1/5 of a gallon of paint.
We can represent this information in an equation as:
[tex]\frac{2}{3}x=\frac{1}{5}[/tex]
[tex]\frac{3}{2}\cdot\frac{2}{3}x=\frac{3}{2}\cdot\frac{1}{5}[/tex]
[tex]x=\frac{3\cdot 1}{2\cdot 5}[/tex]
[tex]x=\frac{3}{10}[/tex]
Therefore, Kim needs [tex]\frac{3}{10}[/tex] gallons of paint to paint the whole wall.