You know that Tyler painted [tex]\dfrac{9}{2}[/tex] square yards area with 3 gallons of paint and want to know many gallons of paint does it take to paint each square yard of wall. Then
[tex]\dfrac{9}{2}[/tex] square yards - 3 gallons
1 square yards - x gallons,
mathematically this is proportion:
[tex]\dfrac{\dfrac{9}{2}}{1}=\dfrac{3}{x},\\ \\\dfrac{9}{2}x=1\cdot 3,\\ \\x=\dfrac{3}{\dfrac{9}{2}}=3\cdot \dfrac{2}{9}=\dfrac{2}{3}.[/tex]
Answer: it takes [tex]\dfrac{2}{3}[/tex] gallons of paint to paint each square yard of wall.
