Adam has some green stickers and blue stickers.
If 33 green stickers are removed, 80% of the stickers will be blue stickers.
If 582 blue stickers are added, 30% of the stickers will be green stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 33 |
4 u |
3 p |
7 p - 582 |
Change |
- 33 |
No change |
No change |
+ 582 |
After |
1 u |
4 u |
3 p |
7 p |
(a)
80% =
80100
=
45 30% =
30100 =
310 Scenario 1 Fraction of the stickers that are green in the end
= 1 -
45 =
15 Scenario 2
Fraction of the stickers that are green in the end
= 1 -
310 =
710 1 u + 33 = 3 p --- (1)
4 u = 7 p - 582 --- (2)
(1)
x 4 4 u + 132 = 4 p
4 u = 4 p - 132 --- (3)
(2) = (3)
7 p - 582 = 4 p - 132
7 p - 4 p = 582 - 132
3 p = 450
1 p = 450 ÷ 3 = 150
Number of green stickers
= 3 p
= 3 x 150
= 450
(b)
Number of blue stickers
= 7 p - 582
= 7 x 150 - 582
= 1050 - 582
= 468
Answer(s): (a) 450; (b) 468