Question
The total number of marbles in Bag X, Bag Y and Bag Z was 91. 78 of the marbles from Bag X and 19 marbles from Bag Y were removed. More marbles were then added into Bag Z until the number of marbles in it was tripled. The ratio of the number of marbles in Bag X to Bag Y to Bag Z became 1 : 3 : 3.
  1. How many less marbles were there in Bag Y than Bag X at first?
  2. Find the total number of marbles in Bag Y and Bag Z in the end.
5 m
(a)

Click button first when a symbol is required. X

(b)

Click button first when a symbol is required. X

The total number of marbles in Bag X, Bag Y and Bag Z was 91. 78 of the marbles from Bag X and 19 marbles from Bag Y were removed. More marbles were then added into Bag Z until the number of marbles in it was tripled. The ratio of the number of marbles in Bag X to Bag Y to Bag Z became 1 : 3 : 3.
  1. How many less marbles were there in Bag Y than Bag X at first?
  2. Find the total number of marbles in Bag Y and Bag Z in the end.