PSLEShannon had a collection of stamps from Oman, Maldives and Egypt. She had 162 stamps from Oman. 20% of her stamps were from Maldives. She had 42 fewer stamps from Egypt than from Maldives.
- What was the total number of stamps in Shannon's collection?
- Shannon's aunt gave her some stamps from Maldives. Her total collection increased by 25%. What percentage of her collection was from Maldives after that?
(a)
Oman |
Maldives |
Egypt |
Total |
162 |
20% |
20% - 42 |
100% |
|
+ 25% |
|
+ 25% |
|
45% |
|
125% |
Total number of stamps
= 20% + 20% - 42 + 162
= 40% + 120
100% = 40% + 120
100% - 40% = 120
60% = 120
1% = 120 ÷ 60 = 2
Total number of stamps in Shannon's collection
= 100%
= 100 x 2
= 200
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Maldives
= 20% + 25%
= 45%
Percentage of her collection from Maldives
=
45125 x 100%
= 36%
Answer(s): (a) 200; (b) 36%