Adam has some green stickers and blue stickers.
If 147 green stickers are removed, 25% of the stickers will be green stickers.
If 109 blue stickers are removed, 20% of the stickers will be 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 + 147 |
3 u |
4 p |
1 p + 109 |
Change |
- 147 |
No change |
No change |
- 109 |
After |
1 u |
3 u |
4 p |
1 p |
(a)
25% =
25100 =
14 20% =
20100 =
15 Scenario 1Fraction of the stickers that are blue
= 1 -
14 =
34 Scenario 2Fraction of the stickers that are green
= 1 -
15 =
451 u + 147 = 4 p --- (1)
3 u = 1 p + 109 --- (2)
From (1)
1 u = 4 p - 147 --- (3)
(3)
x 33 u = 12 p - 441 --- (4)
(4) = (2)
12 p - 441 = 1 p + 109
12 p - 1 p = 441 + 109
11 p = 550
1 p = 550 ÷ 11 = 50Number of green stickers = 4 p
= 4 x 50= 200 (b) Number of blue stickers = 1 p + 109 = 50 + 109 = 159 Answer(s): (a) 200; (b) 159