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MathNet 2018-part-04 — 181 problems (EN–VI) Question 170

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 170

Lucia has a total of 2018 yellow, blue and green balls. There are 4 times more green balls than blue balls. In one *exchange* Lucia offers 13 yellow balls to her friend Cristina and receives 5 blue balls and 7 green balls. After a certain number of such *exchanges*, Lucia has no yellow balls, but she has 1271 green balls.
Determine how many yellow balls did Lucia have in the beginning.