Problem:
The glass gauge on a cylindrical coffee maker shows there are cups left when the coffee maker is full. How many cups of coffee does it hold when it is full?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
If is the number of cups of coffee the coffeemaker will hold when it is full,then we can label the gauge as shown and write the two equivalent ratios:
If is , then is or cups so that is or cups.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions