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Answer:
it takes 2/3 gallons to paint each square yard of wall.
You know that Tyler painted 9/2 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 9/2 square yards - 3 gallons
1 square yards - x gallons,
mathematically this is proportion: (in the picture)

The gallons of paint required for one square yard, and its tape diagram is required.
The volume of paint required to paint 1 square yard of the wall is [tex]\dfrac{2}{3}\ \text{gallons of paint}[/tex]
The required tape diagram is attached.
[tex]\dfrac{9}{2}\ \text{square yards}=4.5\ \text{square yards}=3\ \text{gallons of paint}[/tex]
[tex]1\ \text{square yard}=\dfrac{3}{4.5}=\dfrac{2}{3}\ \text{gallons of paint}[/tex]
So, the volume of paint required to paint 1 square yard of the wall is [tex]\dfrac{2}{3}\ \text{gallons of paint}[/tex]
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