PSLEDana had a collection of stamps from Sweden, Japan and Kenya. She had 171 stamps from Sweden. 10% of her stamps were from Japan. She had 11 fewer stamps from Kenya than from Japan.
- What was the total number of stamps in Dana's collection?
- Dana's aunt gave her some stamps from Japan. Her total collection increased by 25%. What percentage of her collection was from Japan after that?
(a)
Sweden |
Japan |
Kenya |
Total |
171 |
10% |
10% - 11 |
100% |
|
+ 25% |
|
+ 25% |
|
35% |
|
125% |
Total number of stamps
= 10% + 10% - 11 + 171
= 20% + 160
100% = 20% + 160
100% - 20% = 160
80% = 160
1% = 160 ÷ 80 = 2
Total number of stamps in Dana's collection
= 100%
= 100 x 2
= 200
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Japan
= 10% + 25%
= 35%
Percentage of her collection from Japan
=
35125 x 100%
= 28%
Answer(s): (a) 200; (b) 28%