Interfaculty Championship

The workings:

The origin of the Universiade (do not look this word up in a dictionary, you better combine the words University and Olympiad to get its meaning) goes back to the inter-war period. The first university sports competition on record, held in Paris in 1923 under the name of International University Championship, was followed by a series of sporting events, held with a certain regularity as far as circumstances allowed (the 1939 edition took place in Vienna, Germany), until the 1959 edition in Turin definitively coined the term with which we open the “workings”. Since then, 59 editions have been held, separated into winter and summer games, with Russia, the United States and China leading the medal table. Spain has hosted this competition four times, the last one in 2015 in Granada, in coincidence with the proclamation of the International Day of University Sport. Today we propose a divertimento in which three faculties of the Reina Mercedes Campus participate in a sporting competition, as if it were an echo of the Olympic dream from which the city awoke in 2012.

The fun:

Three faculties, Mathematics, Physics and Chemistry, participated in a university sports championship. Each had one participant in each event. Isabel, a student from the Faculty of Physics, sat in the stands to cheer on a friend of hers who was the swimming champion of her faculty. When she got home, her brother asked her how her faculty had done. “We won the swimming event,” she replied, “but Mathematics won the championship. They scored a total of 22 points, while Chemistry and we were tied at 9”. “How do the tests score?” asked the brother. “I don’t know very well,” she said, “but there was a certain number of points for the winner of each test, a smaller number of points for the second and an even smaller number of points for the third. What I do remember,” she continued, “is that the score was the same for all the trials.” “How many tests were there in all?” the brother asked her again. “I don’t know,” she replied, “the only event I was watching was the swimming competition.” “Wasn’t there a high jump?” the brother asked again. “Yes, I saw it on a board.” “And do you know who won it?” the brother asked finally. “No,” she replied, “I don’t know.” Can you deduce, from this dialogue, the answer to this last question and, of course, the scores of all the championship events?

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Solutions

We encourage the readers to try to solve the divertimento for themselves. Whether you succeed or not, you can always consult the solution in this link.