# Question c2254

Mar 26, 2017

125%

#### Explanation:

Let's look at this chart for converting between liquid volume units:

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First, let's convert 200 pints into quarts.

There are 2 pints in a quart. So, use the unit conversion:

$200 \text{ pints" times (1 " quart")/(2 " pints") = 200 cancel"pints" times (1 " quart")/(2 cancel"pints") = 100 " quarts}$

Next, let's convert these 100 quarts into gallons.

There are 4 quarts in a gallon. So, use the unit conversion:

$100 \text{ quarts" times (1 " gallon")/(4 " quarts") = 100 cancel"quarts" times (1 " gallon")/(4 cancel"quarts") = 25 " gallons}$

That means that 200 pints is the same as 25 gallons. So, to find what percent 200 pints is of 25 gallons, we write:

$\left(200 \text{ pints")/(20 " gallons") = (25 " gallons")/(20 " gallons") = (25 cancel"gallons")/(20 cancel"gallons}\right) = \frac{25}{20} = \textcolor{red}{1.25}$

Therefore, 200 pints is $\textcolor{red}{1.25}$ times 20 gallons. If we multiply that by 100 and add a percent sign, we get that:

200 pints is color(red)(125%# of 20 gallons