Constant Quantity?

by YC Mak
(Singapore)

Francis, Gif and Hakim shared a sum of money. Hakim decided to give Francis 2/3 of his money. Then Francis gave Gif 3/4 of his money and Gif gave 3/7 of his money to Hakim. In the end, the amount of money they had was in the ratio of 3:6:8. If Hakim had $55 more than Francis at first, how much money did Gif have in the end?

Here's My Answer
by Zach
(Singapore)

Step 1: This question involves the Constant Total Concept as well as the Working Backwards Strategy. It is an internal transfer among 3 parties resulting in no increase in the overall total of the three people. To work backwards, we start by drawing the end ratio among the three people which is 3:6:8.

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