PSLEOlivia had a collection of stamps from Australia, Haiti and Korea. She had 190 stamps from Australia. 40% of her stamps were from Haiti. She had 30 fewer stamps from Korea than from Haiti.
- What was the total number of stamps in Olivia's collection?
- Olivia's aunt gave her some stamps from Haiti. Her total collection increased by 25%. What percentage of her collection was from Haiti after that?
(a)
Australia |
Haiti |
Korea |
Total |
190 |
40% |
40% - 30 |
100% |
|
+ 25% |
|
+ 25% |
|
65% |
|
125% |
Total number of stamps
= 40% + 40% - 30 + 190
= 80% + 160
100% = 80% + 160
100% - 80% = 160
20% = 160
1% = 160 ÷ 20 = 8
Total number of stamps in Olivia's collection
= 100%
= 100 x 8
= 800
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Haiti
= 40% + 25%
= 65%
Percentage of her collection from Haiti
=
65125 x 100%
= 52%
Answer(s): (a) 800; (b) 52%