PSLETiffany had a collection of stamps from Brazil, Australia and England. She had 110 stamps from Brazil. 40% of her stamps were from Australia. She had 10 fewer stamps from England than from Australia.
- What was the total number of stamps in Tiffany's collection?
- Tiffany's aunt gave her some stamps from Australia. Her total collection increased by 25%. What percentage of her collection was from Australia after that?
(a)
Brazil |
Australia |
England |
Total |
110 |
40% |
40% - 10 |
100% |
|
+ 25% |
|
+ 25% |
|
65% |
|
125% |
Total number of stamps
= 40% + 40% - 10 + 110
= 80% + 100
100% = 80% + 100
100% - 80% = 100
20% = 100
1% = 100 ÷ 20 = 5
Total number of stamps in Tiffany's collection
= 100%
= 100 x 5
= 500
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Australia
= 40% + 25%
= 65%
Percentage of her collection from Australia
=
65125 x 100%
= 52%
Answer(s): (a) 500; (b) 52%