Difference between revisions of "2010 AMC 10B Problems/Problem 8"

(Created page with 'We see how many common integer factors 48 and 64 share. Of the factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48; only 1, 2, 4, and 8 are factors of 64. So there are <math>\bo…')
 
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We see how many common integer factors 48 and 64 share.
 
We see how many common integer factors 48 and 64 share.
Of the factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48; only 1, 2, 4, and 8 are factors of 64.
+
Of the factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48; only 1, 2, 4, 8, and 16 are factors of 64.
So there are <math>\boxed{4}</math> possibilities for the ticket price.
+
So there are <math>\boxed{5}</math> possibilities for the ticket price.

Revision as of 14:47, 24 January 2011

We see how many common integer factors 48 and 64 share. Of the factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48; only 1, 2, 4, 8, and 16 are factors of 64. So there are $\boxed{5}$ possibilities for the ticket price.