Adam has some blue stickers and red stickers.
If Adam receives another 23 blue stickers,
the blue stickers will be 50% as many as the red stickers.
If Adam gives away 13 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 |
|
Blue |
Red |
Blue |
Red |
Before |
1 u - 23 |
2 u |
2 p |
5 p + 13 |
Change |
+ 23 |
No change |
No change |
- 13 |
After |
1 u |
2 u |
2 p |
5 p |
(a)
50% =
50100 =
12 40% =
40100 =
25 Scenario 1 Number of blue stickers at first = 1 u - 23
Number of red stickers at first = 2 u
Scenario 2 Number of blue stickers at first = 2 p
Number of red stickers at first = 5 p + 13
1 u - 23 = 2 p --- (1)
2 u = 5 p + 13 --- (2)
From (1)1 u = 23 + 2 p --- (3) (3) x 22 u = 46 + 4 p --- (4)
(2) = (4)5 p + 13 = 46 + 4 p5 p - 4 p = 46 - 131 p = 33
Number of blue stickers = 2 p = 2 x 33 = 66 (b) Number of red stickers = 5 p + 13 = 5 x 33 + 13
= 165 + 13= 178 Answer(s): (a) 66; (b) 178