Adam has some blue stickers and green stickers.
If Adam receives another 325 green stickers,
the blue stickers will be 20% as many as the green stickers.
If Adam receives another 10 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 - 325 |
4 p - 10 |
5 p |
Change |
No change |
+ 325 |
+ 10 |
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 - 325
Scenario 2 Number of blue stickers at first = 4 p - 10
Number of green stickers at first = 5 p
1 u = 4 p - 10 --- (1)
5 u - 325 = 5 p --- (2)
(2)
÷ 51 u - 65 = 1 p
1 u = 1 p + 65 --- (3)
(1) = (3)
4 p - 10 = 1 p + 65
4 p - 1 p = 10 + 65
3 p = 75
1 p = 75 ÷ 3 = 25
Number of blue stickers
= 4 p - 10
= 4 x 25 - 10
= 100 - 10
= 90
(b)
Number of green stickers
= 5 p
= 5 x 25
= 125
Answer(s): (a) 90; (b) 125