Adam has some red stickers and green stickers.
If 156 red stickers are removed, 25% of the stickers will be red stickers.
If 234 green stickers are removed, 10% of the stickers will be green stickers.
- How many red stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Red |
Green |
Red |
Green |
Before |
1 u + 156 |
3 u |
9 p |
1 p + 234 |
Change |
- 156 |
No change |
No change |
- 234 |
After |
1 u |
3 u |
9 p |
1 p |
(a)
25% =
25100 =
14 10% =
10100 =
110 Scenario 1Fraction of the stickers that are green
= 1 -
14 =
34 Scenario 2Fraction of the stickers that are red
= 1 -
110 =
9101 u + 156 = 9 p --- (1)
3 u = 1 p + 234 --- (2)
From (1)
1 u = 9 p - 156 --- (3)
(3)
x 33 u = 27 p - 468 --- (4)
(4) = (2)
27 p - 468 = 1 p + 234
27 p - 1 p = 468 + 234
26 p = 702
1 p = 702 ÷ 26 = 27Number of red stickers = 9 p
= 9 x 27= 243 (b) Number of green stickers = 1 p + 234 = 27 + 234 = 261 Answer(s): (a) 243; (b) 261