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Mademuasel [1]
3 years ago
11

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?

Mathematics
2 answers:
miss Akunina [59]3 years ago
4 0

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

<u>Explanation:</u>

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}

STatiana [176]3 years ago
3 0

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

<u>Step-by-step explanation:</u>

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 .

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