Adam has some blue stickers and red stickers.
If Adam receives another 95 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 534 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 |
|
Red |
Blue |
Red |
Blue |
Before |
1 u - 95 |
4 u |
3 p |
5 p + 534 |
Change |
+ 95 |
No change |
No change |
- 534 |
After |
1 u |
4 u |
3 p |
5 p |
(a)
25% =
25100 =
14 60% =
60100 =
35 Scenario 1 Number of red stickers at first = 1 u - 95
Number of blue stickers at first = 4 u
Scenario 2 Number of red stickers at first = 3 p
Number of blue stickers at first = 5 p + 534
1 u - 95 = 3 p --- (1)
4 u = 5 p + 534 --- (2)
From (1)1 u = 95 + 3 p --- (3) (3) x 44 u = 380 + 12 p --- (4)
(4) = (2)380 + 12 p = 5 p + 534 12 p - 5 p = 534 - 3807 p = 154
1 p = 154 ÷ 7 = 22
Number of blue stickers = 3 p = 3 x 22 = 66 (b) Number of red stickers = 5 p + 534 = 5 x 22 + 534
= 110 + 534= 644 Answer(s): (a) 66; (b) 644