Two gallons of juice is poured into 8 containers so that each container holds the same amount of juice.

Question

This visual model represents the situation, with each letter representing one of the containers.

Two equally sized rectangles. Each rectangle is divided into 8 equal parts. Longer lines separate every 2 parts. The first 2 parts of the first rectangle are each labeled A. The second 2 parts of the first rectangle are each labeled B. The third 2 parts of the first rectangle are each labeled C. The fourth 2 parts of the first rectangle are each labeled D. The first 2 parts of the second rectangle are each labeled E. The second 2 parts of the second rectangle are each labeled F. The third 2 parts of the second rectangle are each labeled G. The fourth 2 parts of the second rectangle are each labeled H.

How much juice does each container hold?
Responses

18 gal
1 over 8 gal

14 gal
1 fourth gal

12 gal
1 half gal

1 gal
1 gal

Answer 1

To find out how much juice each container holds, we start by noting that there are 2 gallons of juice poured into 8 containers. To find the amount of juice each container holds, we need to divide the total amount of juice by the number of containers.

We can do the calculation as follows:

\[ \text{Amount of juice per container} = \frac{\text{Total gallons of juice}}{\text{Number of containers}} = \frac{2 \text{ gallons}}{8 \text{ containers}} = \frac{2}{8} \text{ gallons} \]

Now we simplify \( \frac{2}{8} \):

\[ \frac{2}{8} = \frac{1}{4} \]

Thus, each container holds \( \frac{1}{4} \) gallon of juice.

Therefore, the correct response is:

1 fourth gallon.