PSLEVictoria had a collection of stamps from Chile, Thailand and Korea. She had 101 stamps from Chile. 40% of her stamps were from Thailand. She had 41 fewer stamps from Korea than from Thailand.
- What was the total number of stamps in Victoria's collection?
- Victoria's aunt gave her some stamps from Thailand. Her total collection increased by 20%. What percentage of her collection was from Thailand after that?
(a)
Chile |
Thailand |
Korea |
Total |
101 |
40% |
40% - 41 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 41 + 101
= 80% + 60
100% = 80% + 60
100% - 80% = 60
20% = 60
1% = 60 ÷ 20 = 3
Total number of stamps in Victoria's collection
= 100%
= 100 x 3
= 300
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Thailand
= 40% + 20%
= 60%
Percentage of her collection from Thailand
=
60120 x 100%
= 50%
Answer(s): (a) 300; (b) 50%