Adam has some blue stickers and green stickers.
If 29 blue stickers are removed, 75% of the stickers will be green stickers.
If 479 green stickers are added, 30% 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 |
1 u + 29 |
3 u |
3 p |
7 p - 479 |
Change |
- 29 |
No change |
No change |
+ 479 |
After |
1 u |
3 u |
3 p |
7 p |
(a)
75% =
75100
=
34 30% =
30100 =
310 Scenario 1 Fraction of the stickers that are blue in the end
= 1 -
34 =
14 Scenario 2
Fraction of the stickers that are blue in the end
= 1 -
310 =
710 1 u + 29 = 3 p --- (1)
3 u = 7 p - 479 --- (2)
(1)
x 3 3 u + 87 = 3 p
3 u = 3 p - 87 --- (3)
(2) = (3)
7 p - 479 = 3 p - 87
7 p - 3 p = 479 - 87
4 p = 392
1 p = 392 ÷ 4 = 98
Number of blue stickers
= 3 p
= 3 x 98
= 294
(b)
Number of green stickers
= 7 p - 479
= 7 x 98 - 479
= 686 - 479
= 207
Answer(s): (a) 294; (b) 207