Acarafe at a banquet holds about 12 cups of coffee. when the carafe has 1 cup or less of coffee left , the waiter dumps the coffee out and pours in a fresh pot. each coffee mug at the banquet holds 0.75 cups of coffee . assuming each person fills their mug , what inequality represents the number of people who can fill their mugs before the carafe needs to be refilled?

16

First lets see the details it gives us:

-12 cup

-1 or less is trashed every 12

-1 coffee mug = 0.75 cups of coffee

Now that we know this we can do our work below:

12/0.75=16

The reason I divided the amount of cups the banquet holds by how much each coffee mug holds is to find how many people can get coffee. The reason for this is because the formula to this type of problem is shown below:

A/B=C

A meaning the amount

B meaning how much goes in each mug

C meaning how many mugs each person gets

Hope this helps!!