PSLEGwen had a collection of stamps from Fiji, Japan and Vietnam. She had 176 stamps from Fiji. 30% of her stamps were from Japan. She had 16 fewer stamps from Vietnam than from Japan.
- What was the total number of stamps in Gwen's collection?
- Gwen's aunt gave her some stamps from Japan. Her total collection increased by 25%. What percentage of her collection was from Japan after that?
(a)
Fiji |
Japan |
Vietnam |
Total |
176 |
30% |
30% - 16 |
100% |
|
+ 25% |
|
+ 25% |
|
55% |
|
125% |
Total number of stamps
= 30% + 30% - 16 + 176
= 60% + 160
100% = 60% + 160
100% - 60% = 160
40% = 160
1% = 160 ÷ 40 = 4
Total number of stamps in Gwen's collection
= 100%
= 100 x 4
= 400
(b)
Old stamp collection = 100%
New stamp collection = 100% + 25% = 125%
Percentage of stamps from Japan
= 30% + 25%
= 55%
Percentage of her collection from Japan
=
55125 x 100%
= 44%
Answer(s): (a) 400; (b) 44%