Adam has some green stickers and blue stickers.
If Adam receives another 495 blue stickers,
the green stickers will be 20% as many as the blue stickers.
If Adam receives another 51 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 - 495 |
4 p - 51 |
5 p |
Change |
No change |
+ 495 |
+ 51 |
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 - 495
Scenario 2 Number of green stickers at first = 4 p - 51
Number of blue stickers at first = 5 p
1 u = 4 p - 51 --- (1)
5 u - 495 = 5 p --- (2)
(2)
÷ 51 u - 99 = 1 p
1 u = 1 p + 99 --- (3)
(1) = (3)
4 p - 51 = 1 p + 99
4 p - 1 p = 51 + 99
3 p = 150
1 p = 150 ÷ 3 = 50
Number of green stickers
= 4 p - 51
= 4 x 50 - 51
= 200 - 51
= 149
(b)
Number of blue stickers
= 5 p
= 5 x 50
= 250
Answer(s): (a) 149; (b) 250