Adam has some blue stickers and red stickers.
If Adam receives another 96 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 420 red stickers,
the blue stickers will be 40% as many as the red stickers.
- How many blue stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Red |
Green |
Red |
Green |
Before |
1 u - 96 |
4 u |
2 p |
5 p + 420 |
Change |
+ 96 |
No change |
No change |
- 420 |
After |
1 u |
4 u |
2 p |
5 p |
(a)
25% =
25100 =
14 40% =
40100 =
25 Scenario 1 Number of red stickers at first = 1 u - 96
Number of green stickers at first = 4 u
Scenario 2 Number of red stickers at first = 2 p
Number of green stickers at first = 5 p + 420
1 u - 96 = 2 p --- (1)
4 u = 5 p + 420 --- (2)
From (1)1 u = 96 + 2 p --- (3) (3) x 44 u = 384 + 8 p --- (4)
(4) = (2)384 + 8 p = 5 p + 420 8 p - 5 p = 420 - 3843 p = 36
1 p = 36 ÷ 3 = 12
Number of blue stickers = 2 p = 2 x 12 = 24 (b) Number of red stickers = 5 p + 420 = 5 x 12 + 420
= 60 + 420= 480 Answer(s): (a) 24; (b) 480