PSLEOlivia had a collection of stamps from Peru, Malaysia and England. She had 154 stamps from Peru. 40% of her stamps were from Malaysia. She had 14 fewer stamps from England than from Malaysia.
- What was the total number of stamps in Olivia's collection?
- Olivia's aunt gave her some stamps from Malaysia. Her total collection increased by 20%. What percentage of her collection was from Malaysia after that?
(a)
Peru |
Malaysia |
England |
Total |
154 |
40% |
40% - 14 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 14 + 154
= 80% + 140
100% = 80% + 140
100% - 80% = 140
20% = 140
1% = 140 ÷ 20 = 7
Total number of stamps in Olivia's collection
= 100%
= 100 x 7
= 700
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Malaysia
= 40% + 20%
= 60%
Percentage of her collection from Malaysia
=
60120 x 100%
= 50%
Answer(s): (a) 700; (b) 50%