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Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the original volume is left?

2 Answers

6 votes

Answer:

75%

Explanation:

User Patrick Mascari
by
7.6k points
4 votes

Answer:

75% of the original volume is left.

Explanation:

Deniz had a full gallon of milk, or 16 cups of milk, and then she poured out 4 cups of milk. That is:


  • \\ A_(full-gallon) = (16)/(16) cups of milk, since
    \\ (16)/(16) = 1 or
    \\ 1 * 100\% = 100\% of the original volume.
  • Deniz poured out 4 cups of milk from the 16 available (or
    \\ (4)/(16)).

Then,

The total left is:


\\ Total_(left) = (16)/(16) - (4)/(16) = (12)/(16) = (3)/(4), since we are dealing here with fractions with the same denominator.

In other words,
\\ (3)/(4) = 0.75 is the amount of milk left in the container.

In terms of percentage,
\\ (3)/(4) = 0.75 is equivalent to
\\ 0.75*100\% = 75\% of the original volume, because Deniz poured out
\\ (4)/(16) = (1)/(4) = 0.25 or
\\ 0.25*100\% = 25\% from the original volume.

So, Deniz left 75% of the original volume of milk after pouring out 25% of it.

This can be represented in the graph below.

Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups-example-1
User Chris Bao
by
9.0k points