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MathNet 2022-part-05 — 197 problems (EN–VI) Question 13

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 13

Tone, Luka and Tine collected waste paper and received a cash prize. Originally the prize was to be divided in the ratio $7:6:5$. Later they changed the agreement and divided the prize in the ratio $6:5:4$. Both ratios are written in the same order as the names are listed.

a. Which division is more favourable for Tine? Justify your answer.

b. In the second division Tone received 216 euros more than Tine. How many euros did each of them receive?