Ratio P6

Peter and Paul had a total of 63 marbles. During a game, each of them won 9 marbles and Peter then had 25% more marbles than Paul.
a) How many more marbles did Peter have than Paul after the game?
b) What was the ratio of the number of marbles Paul had to the number of marbles Peter had before the game?


Pe [][][][][]     ] 63 + 9 + 9
Pa [][][][]        ] = 81

9 u --> 81
1 u --> 81 / 9 = 9

a) Peter had 9 more marbles than Paul after the game.  (before also - Constant Difference)


5 u --> 5 x 9 = 45
45 - 9 = 36

4 u --> 4 x 9 = 36
36 - 9 = 27

27 : 36 = 3 : 4   Be careful, the ratio required is Paul to Peter

b) It was 3 : 4.