PSLEKylie had a collection of stamps from Korea, Ireland and Malaysia. She had 116 stamps from Korea. 40% of her stamps were from Ireland. She had 16 fewer stamps from Malaysia than from Ireland.
- What was the total number of stamps in Kylie's collection?
- Kylie's aunt gave her some stamps from Ireland. Her total collection increased by 20%. What percentage of her collection was from Ireland after that?
(a)
Korea |
Ireland |
Malaysia |
Total |
116 |
40% |
40% - 16 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 16 + 116
= 80% + 100
100% = 80% + 100
100% - 80% = 100
20% = 100
1% = 100 ÷ 20 = 5
Total number of stamps in Kylie's collection
= 100%
= 100 x 5
= 500
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Ireland
= 40% + 20%
= 60%
Percentage of her collection from Ireland
=
60120 x 100%
= 50%
Answer(s): (a) 500; (b) 50%