ANSWER:
a. 5 1-pint containers
b. 4 1-pint containers and 1 1-cup containers
STEP-BY-STEP EXPLANATION:
Given:
1 quarts = 2 pints
1 quarts = 4 cups
We know that full equals 3 fourths, so 3/4 of this would be:
[tex]3\cdot\frac{3}{4}=\frac{9}{4}\text{ quarts of water}[/tex]We convert to pints and get the following:
[tex]\frac{9}{4}\text{quarts}\cdot\frac{2\text{ pints}}{1\text{ quart}}=\frac{9}{2}\text{ pints of water}=4.5\text{pints of water}[/tex]Since we do not have a full 1-pint container, a total of 5 1-pint containers would be needed.
Now, if we want to express the answer in containers of pints and cups we can say that we have 4 containers of 1 pint and the remaining 0.25 of quarts we can express in cups, just like this:
[tex]\frac{1}{4}\text{quarts of water}\cdot\frac{4\text{ cups}}{1\text{ quart}}=1\text{ cup of water}[/tex]Which means that we need 4 containers of 1 pint and 1 container of a cup
