Question

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

gallons

Answer 1

The answer is 30.
There are 16 cups in a gallon. And 120 minutes in 2 hours. so multiple
16*120 which is 480. Then divide 480/120 and get 30 as your answer

Answer 2

we know that

An average of
`4` cups of tea are poured per minute

Step 1

Find the number of cups that are poured in two hours by proportion

Remember that

`2\ hours=120\ minutes`

`(4)/(1) (cups)/(minute) =(x)/(120)(cups)/(minutes) \\ \\x=120*4 \\ \\x=480\ cups`

Step 2

Convert cups to gallons by proportion

Remember that

`16\ cups=1\ gallon`

`(1)/(16) (gallon)/(cups) =(x)/(480) (gallons)/(cups) \\ \\x=480/16 \\ \\x=30\ gallons`

therefore

the answer is

`30\ gallons`