Answer:
[tex]\frac{1}{10}[/tex] gallon
Step-by-step explanation:
Full capacity of the bottle is [tex]\frac{1}{4}[/tex] gallon
Amount of juice in the bottle is [tex]\frac{1}{4}[/tex] gallon
Amount of juice poured out is [tex]\frac{3}{5}[/tex] of the total juice in the bottle.
To calculate how much juice is left in the bottle, we need to subtract the amount of juice poured out from the total juice in the bottle.
Now, amount of juice poured out [tex]=\frac{3}{5}\times \frac{1}{4}=\frac{3}{20}[/tex]
So, amount of juice left in the bottle
[tex]=\frac{1}{4}-\frac{3}{20}[/tex]
[tex]=\frac{5-3}{20}[/tex]
[tex]=\frac{2}{20}[/tex]
[tex]=\frac{1}{10}[/tex]
Hence, the juice left in the bottle is [tex]\frac{1}{10}[/tex] gallon
