Adam has some green stickers and blue stickers.
If 52 green stickers are removed, 80% of the stickers will be blue stickers.
If 541 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 + 52 |
4 u |
3 p |
7 p - 541 |
Change |
- 52 |
No change |
No change |
+ 541 |
After |
1 u |
4 u |
3 p |
7 p |
(a)
80% =
80100
=
45 30% =
30100 =
310 Scenario 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 -
310 =
710 1 u + 52 = 3 p --- (1)
4 u = 7 p - 541 --- (2)
(1)
x 4 4 u + 208 = 4 p
4 u = 4 p - 208 --- (3)
(2) = (3)
7 p - 541 = 4 p - 208
7 p - 4 p = 541 - 208
3 p = 333
1 p = 333 ÷ 3 = 111
Number of green stickers
= 3 p
= 3 x 111
= 333
(b)
Number of blue stickers
= 7 p - 541
= 7 x 111 - 541
= 777 - 541
= 236
Answer(s): (a) 333; (b) 236