Adam has some green stickers and blue stickers.
If 18 green stickers are removed, 80% of the stickers will be blue stickers.
If 82 green stickers are added, 40% of the stickers will be 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 + 18 |
4 u |
6 u - 82 |
4 u |
Change |
- 18 |
No change |
+ 82 |
No change |
After |
1x1 = 1 u |
4x1 = 4 u |
3x2 = 6 u |
2x2 = 4 u |
(a)
80% =
80100 =
4540% =
40100 =
25Scenario 1 Fraction of the stickers that are green in the end
= 1 -
45 =
15 Scenario 2
Fraction of the stickers that are green in the end
= 1 -
25 =
35 The number of blue stickers remains unchanged in both scenarios.
LCM of 4 and 2 = 4
6 u - 82 = 1 u + 18
6 u - 1 u = 18 + 82
5 u = 100
1 u = 100 ÷ 5 = 20
Number of green stickers
= 1 u + 18
= 1 x 20 + 18
= 20 + 18
= 38
(b)
Number of blue stickers
= 4 u
= 4 x 20
= 80
Answer(s): (a) 38; (b) 80