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

$2\ hours=120\ minutes$

$\frac{4}{1} \frac{cups}{minute} =\frac{x}{120}\frac{cups}{minutes} \\ \\x=120*4 \\ \\x=480\ cups$

Step 2

Convert cups to gallons by proportion

Remember that

$16\ cups=1\ gallon$

$\frac{1}{16} \frac{gallon}{cups} =\frac{x}{480} \frac{gallons}{cups} \\ \\x=480/16 \\ \\x=30\ gallons$

therefore

the answer is

$30\ gallons$