Esther, Felicia and Gina had a total of 304 marbles. The ratio of the number of marbles Felicia had to the number of marbles Gina had was 5:4 at first. After Esther and Felicia had each lost 1/2 of their marbles, Felicia had 30 more marbles than Esther. Given that the 3 girls had 204 marbles left, how many more marbles had Gina than Esther at first?
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Question
Answer
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F : G
5u : 4u
(E/2) + 30 ——- F/2
E ——- F – 60 = (5u – 60)
(5u – 60) + 5u + 4u ——- 304
14u ——- 304 + 60 = 364
1u ——- 364/14 = 26
4u ——- 26 x 4 = 104
5u – 60 ——- 26 x 5 – 60 = 70
104 – 70 = 34
Ans : 34 more marbles.