Adam has some blue stickers and red stickers.
If Adam receives another 73 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 621 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 - 73 |
4 u |
3 p |
5 p + 621 |
Change |
+ 73 |
No change |
No change |
- 621 |
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 - 73
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 + 621
1 u - 73 = 3 p --- (1)
4 u = 5 p + 621 --- (2)
From (1)1 u = 73 + 3 p --- (3) (3) x 44 u = 292 + 12 p --- (4)
(4) = (2)292 + 12 p = 5 p + 621 12 p - 5 p = 621 - 2927 p = 329
1 p = 329 ÷ 7 = 47
Number of blue stickers = 3 p = 3 x 47 = 141 (b) Number of red stickers = 5 p + 621 = 5 x 47 + 621
= 235 + 621= 856 Answer(s): (a) 141; (b) 856