Adam has some green stickers and blue stickers.
If Adam receives another 424 blue stickers,
the green stickers will be 25% as many as the blue stickers.
If Adam receives another 70 green stickers,
the green stickers will be 75% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u |
4 u - 424 |
3 p - 70 |
4 p |
Change |
No change |
+ 424 |
+ 70 |
No change |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of green stickers at first = 1 u
Number of blue stickers at first = 4 u - 424
Scenario 2 Number of green stickers at first = 3 p - 70
Number of blue stickers at first = 4 p
1 u = 3 p - 70 --- (1)
4 u - 424 = 4 p --- (2)
(2)
÷ 41 u - 106 = 1 p
1 u = 1 p + 106 --- (3)
(1) = (3)
3 p - 70 = 1 p + 106
3 p - 1 p = 70 + 106
2 p = 176
1 p = 176 ÷ 2 = 88
Number of green stickers
= 3 p - 70
= 3 x 88 - 70
= 264 - 70
= 194
(b)
Number of blue stickers
= 4 p
= 4 x 88
= 352
Answer(s): (a) 194; (b) 352