Question

A full bottle holds 1/4 gallon of milk. If 5/7 of the milk has been poured out, how much milk is left in the bottle?

Answer 1

The amount of milk left in the bottle is $\frac{x}{28}$

Explanation:

Let x be the volume of the bottle.

According to the question,

Milk inside the bottle = $\frac{1}{4} x$

AMount of milk poured out = $\frac{5}{7} X \frac{1}{4} x$

                                          = $\frac{5}{28} x$

Amount left in the bottle = $\frac{1}{4} x - \frac{5}{28}x$

                                       $=\frac{7x - 5x}{28} \\\\= \frac{2x}{28} \\\\=\frac{x}{28}$

Therefore, amount of milk left in the bottle is $\frac{x}{28}$

Answer 2

 $\frac{1}{14}$ 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 :

⇒ $\frac{1}{4} (\frac{5}{7} )$

⇒ $(\frac{5}{28} )$

So , 5/28 gallon of milk is been poured out of 1/4 gallon of milk . Now , Milk left in bottle is given by :

⇒ $\frac{1}{4} -\frac{5}{28}$

⇒ $\frac{1(7)}{4(7)} -\frac{5}{28}$

⇒ $\frac{7}{28} -\frac{5}{28}$

⇒ $\frac{2}{28}$

⇒ $\frac{1}{14}$

Therefore ,  $\frac{1}{14}$ of milk is left in bottle after pouring out 5/7 of the milk present .