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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

Verified Answer :

alaysia22

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

calculista

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

\(30\ gallons\)

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