Adam has some green stickers and blue stickers.
If 240 green stickers are removed, 25% of the stickers will be green stickers.
If 242 blue stickers are removed, 10% 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 + 240 |
3 u |
9 p |
1 p + 242 |
Change |
- 240 |
No change |
No change |
- 242 |
After |
1 u |
3 u |
9 p |
1 p |
(a)
25% =
25100 =
14 10% =
10100 =
110 Scenario 1Fraction of the stickers that are blue
= 1 -
14 =
34 Scenario 2Fraction of the stickers that are green
= 1 -
110 =
9101 u + 240 = 9 p --- (1)
3 u = 1 p + 242 --- (2)
From (1)
1 u = 9 p - 240 --- (3)
(3)
x 33 u = 27 p - 720 --- (4)
(4) = (2)
27 p - 720 = 1 p + 242
27 p - 1 p = 720 + 242
26 p = 962
1 p = 962 ÷ 26 = 37Number of green stickers = 9 p
= 9 x 37= 333 (b) Number of blue stickers = 1 p + 242 = 37 + 242 = 279 Answer(s): (a) 333; (b) 279