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men and women in a hotel, spending money

Source: VIII May Olympiad (Olimpiada de Mayo) 2002 L1 P1

September 22, 2022
algebra

Problem Statement

A group of men, some of them accompanied by their wives, spent $1.000\$1.000 on a hotel. Each man spent $19\$19 and each woman $13\$13. Determine how many women and how many men there were.