PSLEMarion had a collection of stamps from Norway, Peru and Sweden. She had 172 stamps from Norway. 40% of her stamps were from Peru. She had 12 fewer stamps from Sweden than from Peru.
- What was the total number of stamps in Marion's collection?
- Marion's aunt gave her some stamps from Peru. Her total collection increased by 20%. What percentage of her collection was from Peru after that?
(a)
Norway |
Peru |
Sweden |
Total |
172 |
40% |
40% - 12 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 12 + 172
= 80% + 160
100% = 80% + 160
100% - 80% = 160
20% = 160
1% = 160 ÷ 20 = 8
Total number of stamps in Marion's collection
= 100%
= 100 x 8
= 800
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Peru
= 40% + 20%
= 60%
Percentage of her collection from Peru
=
60120 x 100%
= 50%
Answer(s): (a) 800; (b) 50%