Question

A recipe calls for 1/2 gallon of punch, 3 pints of club soda, and 2 cups of ice cream. How many quarts does the recipe make?

Answer 1

The recipe makes four quarts.

Explanation:

The answer to this question requires dimensional analysis.

`"1 gal"` `=` `"4 qt"`

`"2 pt"` `=` `"1 qt"`

`"2 c"` `=` `"1 pt"`c

Convert all measures to cups. Add the number of cups and then convert cups to quarts.

Cups of punch

`0.5cancel"gal"xx(4cancel"qt")/(1cancel"gal")xx(2cancel"pt")/(1cancel"qt")xx(2"c")/(1cancel"pt")= "8 c"`

Cups of club soda

`3cancel"pt"xx(2"c")/(1cancel"pt")="6 c"`

Cups of ice cream

`"2 c"`

Add the number of cups of each ingredient.

`"8 c + 6 c + 2 c"` `=` `"16 c"`

Convert cups to quarts.

`16cancel"c"xx(1cancel"pt")/(2cancel"c")xx(1"qt")/(2cancel"pt")="4 qt"`