Question

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?

Answer 1

Answer:

75% of the original volume is left.

Step-by-step explanation:

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

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

Then,

The total left is:

$\\ Total_{left} = \frac{16}{16} - \frac{4}{16} = \frac{12}{16} = \frac{3}{4}$, since we are dealing here with fractions with the same denominator.

In other words, $\\ \frac{3}{4} = 0.75$ is the amount of milk left in the container.

In terms of percentage, $\\ \frac{3}{4} = 0.75$ is equivalent to $\\ 0.75*100\% = 75\%$ of the original volume, because Deniz poured out $\\ \frac{4}{16} = \frac{1}{4} = 0.25$ 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.