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

Source: Spanish Mathematical Olympiad 1966 P1

December 4, 2022
number theory

Problem Statement

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?