Fraction P6 2010 SA2 Rosyth P2 Q18

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

Fraction P6 2009 SA1 P2 Rosyth Q15

Mark had some stamps. He pasted 5/11 of the stamps on 5 postcards and 5 envelopes. On each postcard, he pasted 1/4 as many stamps as he pasted on each envelope. If he had 150 stamps left, how many stamps did he paste on each envelope? [4 marks]




He pasted 5/11 of the stamps on 5 postcards and 5 envelopes.
Find fraction of Stamps left. Then equate to the number.
1 - 5/11 --> 6/11
6 u --> 150

Find the number of stamps used.
5 u --> 1/6 x 150 = 125

On each postcard, he pasted 1/4 as many stamps as he pasted on each envelope.
Each postcard -- 1 u, each envelope -- 4 u. Find the total units in 1 set.
1 + 4 = 5

5 postcards and 5 envelopes
Find total units in 5 sets. Then equate to the total number of stamps used.
5 x 5 = 25
25 u --> 125

Find the number of stamps on each envelope.
4 u --> 4/25 x 125 = 20 stamps

He pasted 20 stamps on each envelope.