2010 AMC 12B Problems/Problem 3
Problem 3
A ticket to a school play cost dollars, where
is a whole number. A group of 9th graders buys tickets costing a total of $
, and a group of 10th graders buys tickets costing a total of $
. How many values for
are possible?
Solution
We find the greatest common factor of and
to be
. The number of factors of
is
which is the answer
.
See also
2010 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 12 |
Followed by Problem 14 |
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All AMC 12 Problems and Solutions |