Difference between revisions of "2010 AMC 10B Problems/Problem 8"
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Revision as of 12:01, 4 July 2013
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 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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