Answer: Stan used [tex]\frac{1}{24}\ gallon[/tex] of gasoline.
Step-by-step explanation:
Given: The amount of gasoline in the tank of Stan lawn mower=[tex]\frac{1}{8}\ of\ gallon[/tex]
Then he put the amount of gasoline in the tank=[tex]\frac{1}{6}\ of\ gallon[/tex]
The total  amount of gasoline filled in the tank =[tex]\frac{1}{8}+\frac{1}{6}\ gallons[/tex]
⇒ The total amount of gasoline filled in the tank =[tex]\frac{3+4}{24}=\frac{7}{24}\ gallons[/tex]
The amount of gasoline left in the tank after mowing=[tex]\frac{1}{4}\ of\ gallon[/tex]
Now, the total gasoline used by Stan=[tex]\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon[/tex]
