Adam has some blue stickers and red stickers.
If Adam receives another 74 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 434 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 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u - 74 |
4 u |
2 p |
5 p + 434 |
Change |
+ 74 |
No change |
No change |
- 434 |
After |
1 u |
4 u |
2 p |
5 p |
(a)
25% =
25100 =
14 40% =
40100 =
25 Scenario 1 Number of green stickers at first = 1 u - 74
Number of blue stickers at first = 4 u
Scenario 2 Number of green stickers at first = 2 p
Number of blue stickers at first = 5 p + 434
1 u - 74 = 2 p --- (1)
4 u = 5 p + 434 --- (2)
From (1)1 u = 74 + 2 p --- (3) (3) x 44 u = 296 + 8 p --- (4)
(4) = (2)296 + 8 p = 5 p + 434 8 p - 5 p = 434 - 2963 p = 138
1 p = 138 ÷ 3 = 46
Number of blue stickers = 2 p = 2 x 46 = 92 (b) Number of red stickers = 5 p + 434 = 5 x 46 + 434
= 230 + 434= 664 Answer(s): (a) 92; (b) 664