PSLEYen had a collection of stamps from Spain, Korea and China. She had 172 stamps from Spain. 10% of her stamps were from Korea. She had 12 fewer stamps from China 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)
Spain |
Korea |
China |
Total |
172 |
10% |
10% - 12 |
100% |
|
+ 20% |
|
+ 20% |
|
30% |
|
120% |
Total number of stamps
= 10% + 10% - 12 + 172
= 20% + 160
100% = 20% + 160
100% - 20% = 160
80% = 160
1% = 160 ÷ 80 = 2
Total number of stamps in Yen's collection
= 100%
= 100 x 2
= 200
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Korea
= 10% + 20%
= 30%
Percentage of her collection from Korea
=
30120 x 100%
= 25%
Answer(s): (a) 200; (b) 25%