Answer:
Equation : [tex]\frac{5}{7}x = \frac{5}{4}[/tex]
Gallons needed = [tex]1\frac{3}{4}[/tex] gallons
Step-by-step explanation:
It is given that:
Gallons of paint used by Tyler = [tex]1\frac{1}{4} = \frac{5}{4}[/tex]
Area of fence painted = 5/7
Let,
x be the whole fence needed to paint.
[tex]\frac{5}{7}x = \frac{5}{4}[/tex]
Because we know that 5/7 of the fence is painted with 5/4 gallons of paint.
Multiplying the equation with 7/5
[tex]\frac{7}{5}*\frac{5}{7}x=\frac{5}{4}*\frac{7}{5}\\x= \frac{7}{4}\\x = 1\frac{3}{4}[/tex]
Therefore,
Equation : [tex]\frac{5}{7}x = \frac{5}{4}[/tex]
Gallons needed = [tex]1\frac{3}{4}[/tex] gallons
