brazil-enem 2012 Q138

brazil-enem · Other · enem__day2 Not Maths
José, Carlos and Paulo must transport a certain quantity of oranges on their bicycles. They decided to divide the route to be traveled into two parts, and at the end of the first part they would redistribute the quantity of oranges that each one carried depending on each one's fatigue. In the first part of the route José, Carlos and Paulo divided the oranges in the proportion 6:5:4, respectively. In the second part of the route José, Carlos and Paulo divided the oranges in the proportion $4:4:2$, respectively.
Knowing that one of them carried 50 more oranges in the second route, what is the quantity of oranges that José, Carlos and Paulo, in that order, transported in the second part of the route?
(A) 600, 550, 350
(B) 300, 300, 150
(C) 300, 250, 200
(D) 200, 200, 100
(E) $100, 100, 50$
José, Carlos and Paulo must transport a certain quantity of oranges on their bicycles. They decided to divide the route to be traveled into two parts, and at the end of the first part they would redistribute the quantity of oranges that each one carried depending on each one's fatigue. In the first part of the route José, Carlos and Paulo divided the oranges in the proportion 6:5:4, respectively. In the second part of the route José, Carlos and Paulo divided the oranges in the proportion $4:4:2$, respectively.

Knowing that one of them carried 50 more oranges in the second route, what is the quantity of oranges that José, Carlos and Paulo, in that order, transported in the second part of the route?\\
(A) 600, 550, 350\\
(B) 300, 300, 150\\
(C) 300, 250, 200\\
(D) 200, 200, 100\\
(E) $100, 100, 50$