Adam has some green stickers and blue stickers.
If Adam receives another 1070 blue stickers,
the green stickers will be 20% as many as the blue stickers.
If Adam receives another 80 green stickers,
the green stickers will be 80% 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 |
5 u - 1070 |
4 p - 80 |
5 p |
Change |
No change |
+ 1070 |
+ 80 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u
Number of blue stickers at first = 5 u - 1070
Scenario 2 Number of green stickers at first = 4 p - 80
Number of blue stickers at first = 5 p
1 u = 4 p - 80 --- (1)
5 u - 1070 = 5 p --- (2)
(2)
÷ 51 u - 214 = 1 p
1 u = 1 p + 214 --- (3)
(1) = (3)
4 p - 80 = 1 p + 214
4 p - 1 p = 80 + 214
3 p = 294
1 p = 294 ÷ 3 = 98
Number of green stickers
= 4 p - 80
= 4 x 98 - 80
= 392 - 80
= 312
(b)
Number of blue stickers
= 5 p
= 5 x 98
= 490
Answer(s): (a) 312; (b) 490