PSLEVanessa had a collection of stamps from Iraq, Israel and Malaysia. She had 124 stamps from Iraq. 40% of her stamps were from Israel. She had 24 fewer stamps from Malaysia than from Israel.
- What was the total number of stamps in Vanessa's collection?
- Vanessa's aunt gave her some stamps from Israel. Her total collection increased by 20%. What percentage of her collection was from Israel after that?
(a)
Iraq |
Israel |
Malaysia |
Total |
124 |
40% |
40% - 24 |
100% |
|
+ 20% |
|
+ 20% |
|
60% |
|
120% |
Total number of stamps
= 40% + 40% - 24 + 124
= 80% + 100
100% = 80% + 100
100% - 80% = 100
20% = 100
1% = 100 ÷ 20 = 5
Total number of stamps in Vanessa's collection
= 100%
= 100 x 5
= 500
(b)
Old stamp collection = 100%
New stamp collection = 100% + 20% = 120%
Percentage of stamps from Israel
= 40% + 20%
= 60%
Percentage of her collection from Israel
=
60120 x 100%
= 50%
Answer(s): (a) 500; (b) 50%