Question

If there are 4 quarts in a gallon, and 2 pints in a quart, and 2 cups in a pint, then how many cups are in a gallon?

Answer 1

16 cups are in 1 gallon. 

Answer 2

There are 16 cups in a gallon

Explanation:

To find out how many cups are in a gallon you have to convert 2 cups per pint to cups per quart, then multiply the amount of cups per quart by 4 quarts per gallon

Notice that 2 cups in a pint can be written as 2cups/pint and 2 pints in a quart as 2pints/quart

If there are 2 cups in a pint and 2 pints in a quart then the amount of cups in a quart is:

`((2 cups)/(pint) )((2 pint)/(quart)) = (4cups)/(quart)`

If there are 4 cups in a quart and 4 quarts in a gallon then the amount of cups in a gallon is:

`((4cups)/(quart))((4 quart)/(gallon)) = (16cups)/(gallon)`