PSLEEsther had a collection of stamps from Japan, Italy and Ireland. She had 172 stamps from Japan. 30% of her stamps were from Italy. She had 12 fewer stamps from Ireland than from Italy.
- What was the total number of stamps in Esther's collection?
- Esther's aunt gave her some stamps from Italy. Her total collection increased by 25%. What percentage of her collection was from Italy after that?
(a)
Japan |
Italy |
Ireland |
Total |
172 |
30% |
30% - 12 |
100% |
|
+ 25% |
|
+ 25% |
|
55% |
|
125% |
Total number of stamps
= 30% + 30% - 12 + 172
= 60% + 160
100% = 60% + 160
100% - 60% = 160
40% = 160
1% = 160 ÷ 40 = 4
Total number of stamps in Esther's collection
= 100%
= 100 x 4
= 400
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Italy
= 30% + 25%
= 55%
Percentage of her collection from Italy
=
55125 x 100%
= 44%
Answer(s): (a) 400; (b) 44%