Adam has some green stickers and red stickers.
If Adam gives away 25 green stickers,
the green stickers will be 20% as many as the red stickers.
If Adam gives away 205 red stickers,
the green stickers will be 80% as many as the red stickers.
- How many green stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Red |
Green |
Red |
Before |
1 u + 25 |
5 u |
4 p |
5 p + 205 |
Change |
- 25 |
No change |
No change |
- 205 |
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 + 25
Number of red stickers at first = 5 u
Scenario 2 Number of green stickers at first = 4 p
Number of red stickers at first = 5 p + 205
1 u + 25 = 4 p --- (1)
5 u = 5 p + 205 --- (2)
(1)
x 5 5 u + 125 = 20 p
5 u = 20 p - 125 --- (3)
(3) = (2)
20 p - 125 = 5 p + 205
20 p - 5 p = 125 + 205
15 p = 330
1 p = 330 ÷ 15 = 22
Number of green stickers
= 4 p
= 4 x 22
= 88
(b)
Number of red stickers at first
= 5 p + 205
= 5 x 22 + 205
= 110 + 205
= 315
Answer(s): (a) 88; (b) 315