PSLERachel had a collection of stamps from Egypt, Thailand and Mexico. She had 183 stamps from Egypt. 40% of her stamps were from Thailand. She had 43 fewer stamps from Mexico than from Thailand.
- What was the total number of stamps in Rachel's collection?
- Rachel's aunt gave her some stamps from Thailand. Her total collection increased by 20%. What percentage of her collection was from Thailand after that?
(a)
Egypt |
Thailand |
Mexico |
Total |
183 |
40% |
40% - 43 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 43 + 183
= 80% + 140
100% = 80% + 140
100% - 80% = 140
20% = 140
1% = 140 ÷ 20 = 7
Total number of stamps in Rachel's collection
= 100%
= 100 x 7
= 700
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Thailand
= 40% + 20%
= 60%
Percentage of her collection from Thailand
=
60120 x 100%
= 50%
Answer(s): (a) 700; (b) 50%