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Junior Regional Olympiad - FBH 2015 Grade 7 Problem 4

Source:

October 1, 2018
number theory

Problem Statement

On the market one seller is selling watermelons, melons and young corn cobs. Total number of watermelons, melons and corn cobs is 239239. One buyer bought 23\frac{2}{3} of all watermelons, 35\frac{3}{5} of all melons and 57\frac{5}{7} of all corn cobs. Other buyer bought 113\frac{1}{13} of all watermelons, 14\frac{1}{4} of all melons and 15\frac{1}{5} of all corn cobs. How many pieces in total bought second buyer and how many seller had at the beggining of each watermelons, melons and corn cobs?