Adam has some blue stickers and green stickers.
If 278 blue stickers are removed, 25% of the stickers will be blue stickers.
If 200 green stickers are removed, 20% of the stickers will be 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 + 278 |
3 u |
4 p |
1 p + 200 |
Change |
- 278 |
No change |
No change |
- 200 |
After |
1 u |
3 u |
4 p |
1 p |
(a)
25% =
25100 =
14 20% =
20100 =
15 Scenario 1Fraction of the stickers that are green
= 1 -
14 =
34 Scenario 2Fraction of the stickers that are blue
= 1 -
15 =
451 u + 278 = 4 p --- (1)
3 u = 1 p + 200 --- (2)
From (1)
1 u = 4 p - 278 --- (3)
(3)
x 33 u = 12 p - 834 --- (4)
(4) = (2)
12 p - 834 = 1 p + 200
12 p - 1 p = 834 + 200
11 p = 1034
1 p = 1034 ÷ 11 = 94Number of blue stickers = 4 p
= 4 x 94= 376 (b) Number of green stickers = 1 p + 200 = 94 + 200 = 294 Answer(s): (a) 376; (b) 294