Adam has some blue stickers and green stickers.
If 256 blue stickers are added, 40% of the stickers will be green stickers.
If 135 green stickers are added, 25% of the stickers will be blue stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
3 u - 256 |
2 u |
1 p |
3 p - 135 |
Change |
+ 256 |
No change |
No change |
+ 135 |
After |
3 u |
2 u |
1 p |
3 p |
(a)
40% =
40100 =
25 25% =
25100 =
14 Scenario 1 Fraction of the stickers that are blue
= 1 -
25 =
35 Number of blue stickers at first = 3 u - 256
Number of green stickers at first = 2 u
Scenario 2 Fraction of the stickers that are green
= 1 -
14=
34 Number of blue stickers at first = 1 p
Number of green stickers at first = 3 p - 135
3 u - 256 = 1 p --- (1)
2 u = 3 p - 135
2 u + 135 = 3 p --- (2)
(1)
x 3 9 u - 768 = 3 p --- (3)
(3) = (2)
9 u - 768 = 2 u + 135
9 u - 2 u = 768 + 135
7 u = 903
1 u = 903 ÷ 7 = 129
Number of blue stickers
= 3 u - 256
= 3 x 129 - 256
= 387 - 256
= 131
(b)
Number of green stickers
= 2 u
= 2 x 129
= 258
Answer(s): (a) 131; (b) 258