Adam has some blue stickers and green stickers.
If Adam gives away 24 blue stickers,
the blue stickers will be 20% as many as the green stickers.
If Adam gives away 25 green stickers,
the blue stickers will be 40% 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 + 24 |
5 u |
2 p |
5 p + 25 |
Change |
- 24 |
No change |
No change |
- 25 |
After |
1 u |
5 u |
2 p |
5 p |
(a)
20% =
20100 =
15 40% =
40100 =
25 Scenario 1 Number of blue stickers at first = 1 u + 24
Number of green stickers at first = 5 u
Scenario 2 Number of blue stickers at first = 2 p
Number of green stickers at first = 5 p + 25
1 u + 24 = 2 p --- (1)
5 u = 5 p + 25 --- (2)
(1)
x 5 5 u + 120 = 10 p
5 u = 10 p - 120 --- (3)
(3) = (2)
10 p - 120 = 5 p + 25
10 p - 5 p = 120 + 25
5 p = 145
1 p = 145 ÷ 5 = 29
Number of blue stickers
= 2 p
= 2 x 29
= 58
(b)
Number of green stickers at first
= 5 p + 25
= 5 x 29 + 25
= 145 + 25
= 170
Answer(s): (a) 58; (b) 170