Problem:
Joe and JoAnn each bought ounces of coffee in a -ounce cup. Joe drank ounces of his coffee and then added ounces of cream. JoAnn added ounces of cream, stirred the coffee well, and then drank ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee?
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Solution:
Joe has ounces of cream in his cup. JoAnn has drunk ounces of the ounces of coffee-cream mixture in her cup, so she has only of her ounces of cream in her cup. Therefore the ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee is
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions