Adam has some blue stickers and green stickers.
If Adam receives another 30 green stickers,
the blue stickers will be 20% as many as the green stickers.
If Adam receives another 24 blue stickers,
the blue stickers will be 80% 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 |
5 u - 30 |
4 p - 24 |
5 p |
Change |
No change |
+ 30 |
+ 24 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of blue stickers at first = 1 u
Number of green stickers at first = 5 u - 30
Scenario 2 Number of blue stickers at first = 4 p - 24
Number of green stickers at first = 5 p
1 u = 4 p - 24 --- (1)
5 u - 30 = 5 p --- (2)
(2)
÷ 51 u - 6 = 1 p
1 u = 1 p + 6 --- (3)
(1) = (3)
4 p - 24 = 1 p + 6
4 p - 1 p = 24 + 6
3 p = 30
1 p = 30 ÷ 3 = 10
Number of blue stickers
= 4 p - 24
= 4 x 10 - 24
= 40 - 24
= 16
(b)
Number of green stickers
= 5 p
= 5 x 10
= 50
Answer(s): (a) 16; (b) 50