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1

Part of 1966 Spain Mathematical Olympiad

Problems(1)

100 units split into 50,70, 65 as max as posible from 50

Source: Spanish Mathematical Olympiad 1966 P1

12/4/2022
To a manufacturer of three products whose unit prices are 5050, 7070, and 6565 pta, a retailer asks him for 100100 units, remitting him 68506850 pta as payment, on the condition that you send as many of the higher-priced product as possible and the rest of the other two. How many of each product should he send to serve the request?
number theory