[tex]\frac{3}{2}[/tex] liters of paint are needed for 1 wall
Solution:
Given that Claire used 4 liters of paint to cover [tex]2\frac{2}{3}[/tex] of walls
To find: Liters of paint needed for 1 wall
Let "x" be the liters of paint needed for 1 wall
From given question,
4 liters of paint = [tex]2\frac{2}{3}[/tex] of walls
"x" liters of paint = 1 wall
This forms a proportion and we can solve the sum by cross multiplying the terms
[tex]x \times 2\frac{2}{3} = 4 \times 1\\\\x \times \frac{3 \times 2 + 2}{3} = 4\\\\x \times \frac{8}{3} = 4\\\\x = 4 \times \frac{3}{8}\\\\x = \frac{3}{2}[/tex]
Thus [tex]\frac{3}{2}[/tex] liters of paint are needed for 1 wall