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2001 AMC 10Problem 14P11-15~5 minPrint
Diophantine EquationsDivisibility & FactorsLinear Equations & Word ProblemsUse the answer choices (mod checks, size, form) to eliminate or selectBound the quantity above/below or estimate to pin it down

A charity sells 140140 benefit tickets for a total of $2001\$2001 . Some tickets sell for full price (a whole dollar amount), and the rest sells for half price. How much money is raised by the full-price tickets?

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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. Also appeared as 2001 12 #7.