Adam has some green stickers and red stickers.
If 158 green stickers are removed, 25% of the stickers will be green stickers.
If 164 red stickers are removed, 20% of the stickers will be red stickers.
- How many green stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Red |
Green |
Red |
Before |
1 u + 158 |
3 u |
4 p |
1 p + 164 |
Change |
- 158 |
No change |
No change |
- 164 |
After |
1 u |
3 u |
4 p |
1 p |
(a)
25% =
25100 =
14 20% =
20100 =
15 Scenario 1Fraction of the stickers that are red
= 1 -
14 =
34 Scenario 2Fraction of the stickers that are green
= 1 -
15 =
451 u + 158 = 4 p --- (1)
3 u = 1 p + 164 --- (2)
From (1)
1 u = 4 p - 158 --- (3)
(3)
x 33 u = 12 p - 474 --- (4)
(4) = (2)
12 p - 474 = 1 p + 164
12 p - 1 p = 474 + 164
11 p = 638
1 p = 638 ÷ 11 = 58Number of green stickers = 4 p
= 4 x 58= 232 (b) Number of red stickers = 1 p + 164 = 58 + 164 = 222 Answer(s): (a) 232; (b) 222