Using the following conversions between the metric and U.S. systems, convertthe measurement. Round your answer to 3 decimal places as neededThere are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in agallon.1 L = 0.26 gallons21.037 KL = how many pints ?

Respuesta :

Hello! First, let's write all the important information below:

• 1 cup = 8 ounces

,

• 1 pint = 2 cups

,

• 1 quart = 2 pints

,

• 1 gallon = 4 quarts

,

• 1L = 0.26 galoons

,

• 1KL = 1000L

First, let's convert 21.037KL in L:

[tex]\begin{gathered} \frac{1kL}{1000L}=\frac{21.037kL}{x} \\ \\ x=21.037\cdot1000 \\ x=21037L \end{gathered}[/tex]

Now, let's convert L to gallons:

[tex]\begin{gathered} \frac{1L}{0.26\text{gallon}}=\frac{21037L}{x} \\ \\ x=\text{ 21037}\cdot0.26 \\ x=5469.62\text{ gallons} \end{gathered}[/tex]

Now, another conversion. Gallons to quarts:

[tex]\begin{gathered} \frac{1\text{ gallon}}{4\text{ quarts}}=\frac{5469.62\text{ gallons}}{x} \\ \\ x=5469.62\cdot4 \\ x=21878.48\text{ quarts} \end{gathered}[/tex]

Now, the last conversion. Quarts to pints:

[tex]\begin{gathered} \frac{1\text{ quart}}{2\text{ pints}}=\frac{21878.48\text{ quarts}}{x} \\ \\ x=21878.48\cdot2 \\ x=43756.96\text{ pints} \end{gathered}[/tex]

So, 21.037 KL = 43756.96 pints.

RELAXING NOICE
Relax