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2010 AMC 10BProblem 8P1-10~2 minPrint
Divisibility & FactorsGCD & LCMSet up the equation/formula and compute; no special trick needed

A ticket to a school play cost xx dollars, where xx is a whole number. A group of 9th graders buys tickets costing a total of $48\$48 , and a group of 10th graders buys tickets costing a total of $64\$64 . How many values for xx are possible?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.