2010 AMC 10B Problems/Problem 8
Problem
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 see how many common integer factors and
share.
Of the factors of
-
; only
and
are factors of
.
So there are
possibilities for the ticket price.
See Also
2010 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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