Adam has some green stickers and blue stickers.
If 39 green stickers are removed, 75% of the stickers will be blue stickers.
If 573 blue stickers are added, 30% of the stickers will be green stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 39 |
3 u |
3 p |
7 p - 573 |
Change |
- 39 |
No change |
No change |
+ 573 |
After |
1 u |
3 u |
3 p |
7 p |
(a)
75% =
75100
=
34 30% =
30100 =
310 Scenario 1 Fraction of the stickers that are green in the end
= 1 -
34 =
14 Scenario 2
Fraction of the stickers that are green in the end
= 1 -
310 =
710 1 u + 39 = 3 p --- (1)
3 u = 7 p - 573 --- (2)
(1)
x 3 3 u + 117 = 3 p
3 u = 3 p - 117 --- (3)
(2) = (3)
7 p - 573 = 3 p - 117
7 p - 3 p = 573 - 117
4 p = 456
1 p = 456 ÷ 4 = 114
Number of green stickers
= 3 p
= 3 x 114
= 342
(b)
Number of blue stickers
= 7 p - 573
= 7 x 114 - 573
= 798 - 573
= 225
Answer(s): (a) 342; (b) 225