Answer:
[tex]\frac{1}{2}[/tex] lawn
Step-by-step explanation:
The rate of [tex]\frac{1}{2}[/tex] gallon of gasoline per [tex]\frac{1}{4}[/tex] lawn mowed.
We will solve it by unitary method.
∵ [tex]\frac{1}{2}[/tex] gallon of gasoline is used to mow [tex]\frac{1}{4}[/tex] lawn.
∴ 1 gallon of gasoline is used to mow = [tex]\frac{\frac{1}{4}}{\frac{1}{2}}[/tex]
= [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{1}[/tex]
= [tex]\frac{2}{4}[/tex]
= [tex]\frac{1}{2}[/tex] lawn
you can mow [tex]\frac{1}{2}[/tex] lawn with one gallon of gasoline.
