Adam has some blue stickers and green stickers.
If Adam receives another 284 green stickers,
the blue stickers will be 25% as many as the green stickers.
If Adam receives another 85 blue stickers,
the blue stickers will be 75% as many as the green stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u |
4 u - 284 |
3 p - 85 |
4 p |
Change |
No change |
+ 284 |
+ 85 |
No change |
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
Number of green stickers at first = 4 u - 284
Scenario 2 Number of blue stickers at first = 3 p - 85
Number of green stickers at first = 4 p
1 u = 3 p - 85 --- (1)
4 u - 284 = 4 p --- (2)
(2)
÷ 41 u - 71 = 1 p
1 u = 1 p + 71 --- (3)
(1) = (3)
3 p - 85 = 1 p + 71
3 p - 1 p = 85 + 71
2 p = 156
1 p = 156 ÷ 2 = 78
Number of blue stickers
= 3 p - 85
= 3 x 78 - 85
= 234 - 85
= 149
(b)
Number of green stickers
= 4 p
= 4 x 78
= 312
Answer(s): (a) 149; (b) 312