Problem:
In a collection of red, blue, and green marbles, there are more red marbles than blue marbles, and there are more green marbles than red marbles. Suppose that there are red marbles. What is the total number of marbles in the collection?
Answer Choices:
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B.
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Solution:
Let and represent the number of blue and green marbles, respectively. Then and . Thus the total number of red, blue, and green marbles is
The problems on this page are the property of the MAA's American Mathematics Competitions