Adam has some green stickers and red stickers.
If Adam receives another 880 red stickers,
the green stickers will be 20% as many as the red stickers.
If Adam receives another 40 green stickers,
the green stickers will be 80% as many as the 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 |
5 u - 880 |
4 p - 40 |
5 p |
Change |
No change |
+ 880 |
+ 40 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u
Number of red stickers at first = 5 u - 880
Scenario 2 Number of green stickers at first = 4 p - 40
Number of red stickers at first = 5 p
1 u = 4 p - 40 --- (1)
5 u - 880 = 5 p --- (2)
(2)
÷ 51 u - 176 = 1 p
1 u = 1 p + 176 --- (3)
(1) = (3)
4 p - 40 = 1 p + 176
4 p - 1 p = 40 + 176
3 p = 216
1 p = 216 ÷ 3 = 72
Number of green stickers
= 4 p - 40
= 4 x 72 - 40
= 288 - 40
= 248
(b)
Number of red stickers
= 5 p
= 5 x 72
= 360
Answer(s): (a) 248; (b) 360