Adam has some blue stickers and green stickers.
If Adam receives another 540 green stickers,
the blue stickers will be 20% as many as the green stickers.
If Adam receives another 12 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 - 540 |
4 p - 12 |
5 p |
Change |
No change |
+ 540 |
+ 12 |
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 - 540
Scenario 2 Number of blue stickers at first = 4 p - 12
Number of green stickers at first = 5 p
1 u = 4 p - 12 --- (1)
5 u - 540 = 5 p --- (2)
(2)
÷ 51 u - 108 = 1 p
1 u = 1 p + 108 --- (3)
(1) = (3)
4 p - 12 = 1 p + 108
4 p - 1 p = 12 + 108
3 p = 120
1 p = 120 ÷ 3 = 40
Number of blue stickers
= 4 p - 12
= 4 x 40 - 12
= 160 - 12
= 148
(b)
Number of green stickers
= 5 p
= 5 x 40
= 200
Answer(s): (a) 148; (b) 200