PSLEYen had a collection of stamps from Denmark, Korea and Japan. She had 105 stamps from Denmark. 40% of her stamps were from Korea. She had 45 fewer stamps from Japan than from Korea.
- What was the total number of stamps in Yen's collection?
- Yen's aunt gave her some stamps from Korea. Her total collection increased by 20%. What percentage of her collection was from Korea after that?
(a)
Denmark |
Korea |
Japan |
Total |
105 |
40% |
40% - 45 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 45 + 105
= 80% + 60
100% = 80% + 60
100% - 80% = 60
20% = 60
1% = 60 ÷ 20 = 3
Total number of stamps in Yen's collection
= 100%
= 100 x 3
= 300
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Korea
= 40% + 20%
= 60%
Percentage of her collection from Korea
=
60120 x 100%
= 50%
Answer(s): (a) 300; (b) 50%