Adam has some blue stickers and red stickers.
If Adam receives another 53 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 604 red stickers,
the blue stickers will be 75% 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 - 53 |
4 u |
3 p |
4 p + 604 |
Change |
+ 53 |
No change |
No change |
- 604 |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of red stickers at first = 1 u - 53
Number of green stickers at first = 4 u
Scenario 2 Number of red stickers at first = 3 p
Number of green stickers at first = 4 p + 604
1 u - 53 = 3 p --- (1)
4 u = 4 p + 604 --- (2)
From (1)1 u = 53 + 3 p --- (3) (3) x 44 u = 212 + 12 p --- (4)
(4) = (2)212 + 12 p = 4 p + 604 12 p - 4 p = 604 - 2128 p = 392
1 p = 392 ÷ 8 = 49
Number of blue stickers = 3 p = 3 x 49 = 147 (b) Number of red stickers = 4 p + 604 = 4 x 49 + 604
= 196 + 604= 800 Answer(s): (a) 147; (b) 800