Adam has some blue stickers and red stickers.
If Adam receives another 75 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 468 red stickers,
the blue stickers will be 60% as many as the red stickers.
- How many blue stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u - 75 |
4 u |
3 p |
5 p + 468 |
Change |
+ 75 |
No change |
No change |
- 468 |
After |
1 u |
4 u |
3 p |
5 p |
(a)
25% =
25100 =
14 60% =
60100 =
35 Scenario 1 Number of blue stickers at first = 1 u - 75
Number of green stickers at first = 4 u
Scenario 2 Number of blue stickers at first = 3 p
Number of green stickers at first = 5 p + 468
1 u - 75 = 3 p --- (1)
4 u = 5 p + 468 --- (2)
From (1)1 u = 75 + 3 p --- (3) (3) x 44 u = 300 + 12 p --- (4)
(4) = (2)300 + 12 p = 5 p + 468 12 p - 5 p = 468 - 3007 p = 168
1 p = 168 ÷ 7 = 24
Number of blue stickers = 3 p = 3 x 24 = 72 (b) Number of red stickers = 5 p + 468 = 5 x 24 + 468
= 120 + 468= 588 Answer(s): (a) 72; (b) 588