Adam has some green stickers and blue stickers.
If Adam gives away 11 green stickers,
the green stickers will be 25% as many as the blue stickers.
If Adam gives away 40 blue stickers,
the green stickers will be 40% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 11 |
4 u |
2 p |
5 p + 40 |
Change |
- 11 |
No change |
No change |
- 40 |
After |
1 u |
4 u |
2 p |
5 p |
(a)
25% =
25100 =
14 40% =
40100 =
25 Scenario 1 Number of green stickers at first = 1 u + 11
Number of blue stickers at first = 4 u
Scenario 2 Number of green stickers at first = 2 p
Number of blue stickers at first = 5 p + 40
1 u + 11 = 2 p --- (1)
4 u = 5 p + 40 --- (2)
(1)
x 4 4 u + 44 = 8 p
4 u = 8 p - 44 --- (3)
(3) = (2)
8 p - 44 = 5 p + 40
8 p - 5 p = 44 + 40
3 p = 84
1 p = 84 ÷ 3 = 28
Number of green stickers
= 2 p
= 2 x 28
= 56
(b)
Number of blue stickers at first
= 5 p + 40
= 5 x 28 + 40
= 140 + 40
= 180
Answer(s): (a) 56; (b) 180