Xavier, Yati and Zul each had a certain number of stamps. At first, Yati had 200 stamps more than Xavier and Zul had ¾ the number of stamps Yati had. After Yati gave away 1/8 of her stamps to Xavier, she had 60 fewer stamps than Xavier. What was the ratio of the number of stamps Xavier had to the number of stamps Yati had to the number of stamps Zul had at first? Give your answer in the simplest form. [5 marks][Answer given: 42:52:39]
3/4 x 200 = 150
X [][][][][][][][]
Y [][][][][][][][][ 200 ]
Z [][][][][][][ 150 ]
1/8 x 200 = 25
X [][][][][][][][][][ 25 ]
Y [][][][][][][][ 175 ]< 60 >
2 u --> 175 + 60 - 25 = 210
1 u --> 210/2 = 105
6 u --> 6 x 105 = 630
630 + 150 = 780
8 u --> 8 x 105 = 840
840 + 200 = 1040
840 : 1040 : 780 = 42 : 52 : 39
It was 42 : 52 : 39
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