Question
Three cartons, A, B and C, contained 370 balls. Jenson added some balls into Carton A and the number of balls in Carton A tripled. He took out half of the number of balls from Carton B and added another 30 balls into Carton C. As a result, the ratio of the number of balls in Carton A, Carton B and Carton C became 9 : 4 : 9. What was the ratio of the number of balls in Carton B to the total number of balls in Carton A and Carton C at first? Give the answer in its lowest term.
4 m

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Three cartons, A, B and C, contained 370 balls. Jenson added some balls into Carton A and the number of balls in Carton A tripled. He took out half of the number of balls from Carton B and added another 30 balls into Carton C. As a result, the ratio of the number of balls in Carton A, Carton B and Carton C became 9 : 4 : 9. What was the ratio of the number of balls in Carton B to the total number of balls in Carton A and Carton C at first? Give the answer in its lowest term.