Adam has some blue stickers and red stickers.
If Adam receives another 87 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 465 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 - 87 |
4 u |
2 p |
5 p + 465 |
Change |
+ 87 |
No change |
No change |
- 465 |
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 - 87
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 + 465
1 u - 87 = 2 p --- (1)
4 u = 5 p + 465 --- (2)
From (1)1 u = 87 + 2 p --- (3) (3) x 44 u = 348 + 8 p --- (4)
(4) = (2)348 + 8 p = 5 p + 465 8 p - 5 p = 465 - 3483 p = 117
1 p = 117 ÷ 3 = 39
Number of blue stickers = 2 p = 2 x 39 = 78 (b) Number of red stickers = 5 p + 465 = 5 x 39 + 465
= 195 + 465= 660 Answer(s): (a) 78; (b) 660