Adam has some blue stickers and red stickers.
If Adam receives another 94 blue stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam gives away 760 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 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u - 94 |
4 u |
3 p |
4 p + 760 |
Change |
+ 94 |
No change |
No change |
- 760 |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u - 94
Number of green stickers at first = 4 u
Scenario 2 Number of blue stickers at first = 3 p
Number of green stickers at first = 4 p + 760
1 u - 94 = 3 p --- (1)
4 u = 4 p + 760 --- (2)
From (1)1 u = 94 + 3 p --- (3) (3) x 44 u = 376 + 12 p --- (4)
(4) = (2)376 + 12 p = 4 p + 760 12 p - 4 p = 760 - 3768 p = 384
1 p = 384 ÷ 8 = 48
Number of blue stickers = 3 p = 3 x 48 = 144 (b) Number of red stickers = 4 p + 760 = 4 x 48 + 760
= 192 + 760= 952 Answer(s): (a) 144; (b) 952