a full bottle holds 1/4 gallon of juice if 3/5 of the juice has been poured out how much juice is left in the bottle

Answer:[tex]\frac{1}{10}[/tex] gallonStep-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] gallonAmount 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