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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

Respuesta :

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 [tex]4[/tex] cups of tea are poured per minute

Step 1

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

Remember that

[tex]2\ hours=120\ minutes[/tex]

[tex]\frac{4}{1} \frac{cups}{minute} =\frac{x}{120}\frac{cups}{minutes} \\ \\x=120*4 \\ \\x=480\ cups[/tex]

Step 2

Convert cups to gallons by proportion

Remember that

[tex]16\ cups=1\ gallon[/tex]

[tex]\frac{1}{16} \frac{gallon}{cups} =\frac{x}{480} \frac{gallons}{cups} \\ \\x=480/16 \\ \\x=30\ gallons[/tex]

therefore

the answer is

[tex]30\ gallons[/tex]

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