Adam has some blue stickers and green stickers.
If Adam gives away 20 blue stickers,
the blue stickers will be 25% as many as the green stickers.
If Adam gives away 10 green stickers,
the blue stickers will be 40% as many as the green stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u + 20 |
4 u |
2 p |
5 p + 10 |
Change |
- 20 |
No change |
No change |
- 10 |
After |
1 u |
4 u |
2 p |
5 p |
(a)
25% =
25100 =
14 40% =
40100 =
25 Scenario 1 Number of blue stickers at first = 1 u + 20
Number of green stickers at first = 4 u
Scenario 2 Number of blue stickers at first = 2 p
Number of green stickers at first = 5 p + 10
1 u + 20 = 2 p --- (1)
4 u = 5 p + 10 --- (2)
(1)
x 4 4 u + 80 = 8 p
4 u = 8 p - 80 --- (3)
(3) = (2)
8 p - 80 = 5 p + 10
8 p - 5 p = 80 + 10
3 p = 90
1 p = 90 ÷ 3 = 30
Number of blue stickers
= 2 p
= 2 x 30
= 60
(b)
Number of green stickers at first
= 5 p + 10
= 5 x 30 + 10
= 150 + 10
= 160
Answer(s): (a) 60; (b) 160