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

`(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 :

⇒
`(1)/(4) ((5)/(7) )`

⇒
`((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 :

⇒
`(1)/(4) -(5)/(28)`

⇒
`(1(7))/(4(7)) -(5)/(28)`

⇒
`(7)/(28) -(5)/(28)`

⇒
`(2)/(28)`

⇒
`(1)/(14)`

Therefore ,
`(1)/(14)` of milk is left in bottle after pouring out 5/7 of the milk present .

Answer 2

The amount of milk left in the bottle is
`(x)/(28)`

Step-by-step explanation:

Let x be the volume of the bottle.

According to the question,

Milk inside the bottle =
`(1)/(4) x`

AMount of milk poured out =
`(5)/(7) X (1)/(4) x\\\\`

=
`(5)/(28) x`

Amount left in the bottle =
`(1)/(4) x - (5)/(28)x`

`=(7x - 5x)/(28) \\\\= (2x)/(28) \\\\=(x)/(28)`

Therefore, amount of milk left in the bottle is
`(x)/(28)`