Tom and Jerry shared a box of marbles. If Tom was given 10 fewer marbles, Jerry would have five times as many marbles as Tom. If Tom was given 10 more marbles, he would have ½ as many marbles as Jerry. What percentage of the marbles did Tom receive? [5 marks][Answer given: 25%]
T J
- 10 + 10
---------------
1 : 5
---------------
5 T - 50 --> J + 10
J --> 5 T - 60
T J
+ 10 - 10
--------------
1 : 2
--------------
2T + 20 --> J - 10
J --> 2 T + 30
5 T - 60 --> 2 T + 30
3 T --> 30 + 60 = 90
T --> 90/3 = 30
J --> 2 x 30 + 30 = 90
90 + 30 = 120
30/120 x 100% = 25%
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