Question #c2254

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 " 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 " 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:

`(200 " pints")/(20 " gallons") = (25 " gallons")/(20 " gallons") = (25 cancel"gallons")/(20 cancel"gallons") = 25/20 = color(red)1.25`

Therefore, 200 pints is `color(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

Final Answer