Respuesta :
It takes [tex]\frac{2}{3}[/tex] gallons of paint to paint each square yard of wall
Solution:
Given that Tyler painted [tex]\frac{9}{2}[/tex] square yards of wall area with 3 gallons of paint
To find: gallons of paint needed to paint each square yard of wall
From given question,
Let "x" be the gallons of paint needed to paint each square yard of wall
[tex]\frac{9}{2} \text{ square yards } = 3 \text{ gallon of paint }[/tex]
1 square yard = x gallons of paint
Mathematically this is proportion, by cross multiplying we get,
[tex]\frac{9}{2} \times x = 1 \times 3\\\\x = 3 \times \frac{2}{9}\\\\x = \frac{2}{3}[/tex]
Thus it takes [tex]\frac{2}{3}[/tex] gallons of paint to paint each square yard of wall.
