PSLESarah had a collection of stamps from Denmark, Italy and Thailand. She had 153 stamps from Denmark. 40% of her stamps were from Italy. She had 33 fewer stamps from Thailand than from Italy.
- What was the total number of stamps in Sarah's collection?
- Sarah's aunt gave her some stamps from Italy. Her total collection increased by 20%. What percentage of her collection was from Italy after that?
(a)
Denmark |
Italy |
Thailand |
Total |
153 |
40% |
40% - 33 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 33 + 153
= 80% + 120
100% = 80% + 120
100% - 80% = 120
20% = 120
1% = 120 ÷ 20 = 6
Total number of stamps in Sarah's collection
= 100%
= 100 x 6
= 600
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Italy
= 40% + 20%
= 60%
Percentage of her collection from Italy
=
60120 x 100%
= 50%
Answer(s): (a) 600; (b) 50%