PSLEYen had a collection of stamps from Brunei, Malta and Italy. She had 170 stamps from Brunei. 40% of her stamps were from Malta. She had 30 fewer stamps from Italy than from Malta.
- What was the total number of stamps in Yen's collection?
- Yen's aunt gave her some stamps from Malta. Her total collection increased by 20%. What percentage of her collection was from Malta after that?
(a)
Brunei |
Malta |
Italy |
Total |
170 |
40% |
40% - 30 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 30 + 170
= 80% + 140
100% = 80% + 140
100% - 80% = 140
20% = 140
1% = 140 ÷ 20 = 7
Total number of stamps in Yen's collection
= 100%
= 100 x 7
= 700
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Malta
= 40% + 20%
= 60%
Percentage of her collection from Malta
=
60120 x 100%
= 50%
Answer(s): (a) 700; (b) 50%