Adam has some green stickers and blue stickers.
If Adam receives another 628 blue stickers,
the green stickers will be 25% as many as the blue stickers.
If Adam receives another 11 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 - 628 |
3 p - 11 |
4 p |
Change |
No change |
+ 628 |
+ 11 |
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 - 628
Scenario 2 Number of green stickers at first = 3 p - 11
Number of blue stickers at first = 4 p
1 u = 3 p - 11 --- (1)
4 u - 628 = 4 p --- (2)
(2)
÷ 41 u - 157 = 1 p
1 u = 1 p + 157 --- (3)
(1) = (3)
3 p - 11 = 1 p + 157
3 p - 1 p = 11 + 157
2 p = 168
1 p = 168 ÷ 2 = 84
Number of green stickers
= 3 p - 11
= 3 x 84 - 11
= 252 - 11
= 241
(b)
Number of blue stickers
= 4 p
= 4 x 84
= 336
Answer(s): (a) 241; (b) 336