AMC 10 Step by Step
2006 AMC 10BProblem 22P21-25~5 minPrint

Elmo makes NN sandwiches for a fundraiser. For each sandwich he uses BB globs of peanut butter at 4¢4\cent per glob and JJ blobs of jam at 5¢5\cent per blob. The cost of the peanut butter and jam to make all the sandwiches is $2.53\$ 2.53 . Assume that BB , JJ , and NN are positive integers with N>1N>1 . What is the cost of the jam Elmo uses to make the sandwiches?

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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.