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International Contests
Tournament Of Towns
1984 Tournament Of Towns
(053) O1
(053) O1
Part of
1984 Tournament Of Towns
Problems
(1)
TOT 053 1984 Spring J-O1 S-O1 Humpties and Dumpties price
Source:
8/19/2019
The price of
175
175
175
Humpties is more than the price of
125
125
125
Dumpties but less than that of
126
126
126
Dumpties. Prove that you cannot buy three Humpties and one Dumpty for (a)
80
80
80
cents. (b)
1
1
1
dollar.(S Fomin, Leningrad)PS. (a) for Juniors , (a),(b) for Seniors
algebra
combinatorics