Question
Three cartons, B, C and A, contained 142 balls. Liam added some balls into Carton B and the number of balls in Carton B tripled. He took out half of the number of balls from Carton C and removed 22 balls from Carton A. As a result, the ratio of the number of balls in Carton B, Carton C and Carton A became 9 : 2 : 3. What was the ratio of the number of balls in Carton A to the total number of balls in Carton B and Carton C at first? Give the answer in its lowest term.
4 m

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Three cartons, B, C and A, contained 142 balls. Liam added some balls into Carton B and the number of balls in Carton B tripled. He took out half of the number of balls from Carton C and removed 22 balls from Carton A. As a result, the ratio of the number of balls in Carton B, Carton C and Carton A became 9 : 2 : 3. What was the ratio of the number of balls in Carton A to the total number of balls in Carton B and Carton C at first? Give the answer in its lowest term.