Brazilian National Exam Question (ENEM)

Algebra Level 3

José, Carlos and Paulo transported a certain amount of oranges on their bicycles. They have divided their path in two, such that at the end of the first part they would redistribute the oranges that each one was carrying depending on how tired everyone it would be. At the beginning, the oranges were distributed in ratios of \(6 : 5 : 4\), respectively. Reaching the second part of their way, they reditributed the oranges in ratios of \(4 : 4 : 2\), respectively.

Knowing that one of them carried 50 oranges more in the second part, how many oranges José, Carlos and Paulo, on this order, transported on the second part of their route?

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