Respuesta :
The amount of milk left in the bottle is [tex]\frac{x}{28}[/tex]
Explanation:
Let x be the volume of the bottle.
According to the question,
Milk inside the bottle = [tex]\frac{1}{4} x[/tex]
AMount of milk poured out = [tex]\frac{5}{7} X \frac{1}{4} x\\\\[/tex]
= [tex]\frac{5}{28} x[/tex]
Amount left in the bottle = [tex]\frac{1}{4} x - \frac{5}{28}x[/tex]
[tex]=\frac{7x - 5x}{28} \\\\= \frac{2x}{28} \\\\=\frac{x}{28}[/tex]
Therefore, amount of milk left in the bottle is [tex]\frac{x}{28}[/tex]
[tex]\frac{1}{14}[/tex] of milk is left in bottle after pouring out 5/7 of the milk present .
Step-by-step explanation:
Here we have , A full bottle holds 1/4 gallon of milk. If 5/7 of the milk has been poured out, We need to find how much milk is left in the bottle . Let's find out:
Let's find the amount of milk poured out :
⇒ [tex]\frac{1}{4} (\frac{5}{7} )[/tex]
⇒ [tex](\frac{5}{28} )[/tex]
So , 5/28 gallon of milk is been poured out of 1/4 gallon of milk . Now , Milk left in bottle is given by :
⇒ [tex]\frac{1}{4} -\frac{5}{28}[/tex]
⇒ [tex]\frac{1(7)}{4(7)} -\frac{5}{28}[/tex]
⇒ [tex]\frac{7}{28} -\frac{5}{28}[/tex]
⇒ [tex]\frac{2}{28}[/tex]
⇒ [tex]\frac{1}{14}[/tex]
Therefore , [tex]\frac{1}{14}[/tex] of milk is left in bottle after pouring out 5/7 of the milk present .
