PSLEHilda had a collection of stamps from France, Pakistan and Brazil. She had 171 stamps from France. 40% of her stamps were from Pakistan. She had 11 fewer stamps from Brazil than from Pakistan.
- What was the total number of stamps in Hilda's collection?
- Hilda's aunt gave her some stamps from Pakistan. Her total collection increased by 20%. What percentage of her collection was from Pakistan after that?
(a)
France |
Pakistan |
Brazil |
Total |
171 |
40% |
40% - 11 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 11 + 171
= 80% + 160
100% = 80% + 160
100% - 80% = 160
20% = 160
1% = 160 ÷ 20 = 8
Total number of stamps in Hilda's collection
= 100%
= 100 x 8
= 800
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Pakistan
= 40% + 20%
= 60%
Percentage of her collection from Pakistan
=
60120 x 100%
= 50%
Answer(s): (a) 800; (b) 50%