Adam has some green stickers and blue stickers.
If Adam gives away 24 green stickers,
the green stickers will be 10% as many as the blue stickers.
If Adam gives away 600 blue stickers,
the green stickers will be 80% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 24 |
10 u |
4 p |
5 p + 600 |
Change |
- 24 |
No change |
No change |
- 600 |
After |
1 u |
10 u |
4 p |
5 p |
(a)
10% =
10100 =
110 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u + 24
Number of blue stickers at first = 10 u
Scenario 2 Number of green stickers at first = 4 p
Number of blue stickers at first = 5 p + 600
1 u + 24 = 4 p --- (1)
10 u = 5 p + 600 --- (2)
(1)
x 10 10 u + 240 = 40 p
10 u = 40 p - 240 --- (3)
(3) = (2)
40 p - 240 = 5 p + 600
40 p - 5 p = 240 + 600
35 p = 840
1 p = 840 ÷ 35 = 24
Number of green stickers
= 4 p
= 4 x 24
= 96
(b)
Number of blue stickers at first
= 5 p + 600
= 5 x 24 + 600
= 120 + 600
= 720
Answer(s): (a) 96; (b) 720