Question:
At first, Ben had some red, blue and green marbles. During a game, he removed 54 red marbles, gave away 40% of the blue marbles and increased the green marbles by 25%. After the game, the ratio of the number of red marbles to the number of blue marbles to the number of green marbles was 3 : 1 : 5. The total number of marbles he had before and after the game was the same.
(a) What fraction of the marbles were red at first?
(b) How many green marbles had he increased during the game?