Adam has some blue stickers and green stickers.
If 56 blue stickers are removed, 75% of the stickers will be green stickers.
If 500 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 + 56 |
3 u |
3 p |
7 p - 500 |
Change |
- 56 |
No change |
No change |
+ 500 |
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 + 56 = 3 p --- (1)
3 u = 7 p - 500 --- (2)
(1)
x 3 3 u + 168 = 3 p
3 u = 3 p - 168 --- (3)
(2) = (3)
7 p - 500 = 3 p - 168
7 p - 3 p = 500 - 168
4 p = 332
1 p = 332 ÷ 4 = 83
Number of blue stickers
= 3 p
= 3 x 83
= 249
(b)
Number of green stickers
= 7 p - 500
= 7 x 83 - 500
= 581 - 500
= 81
Answer(s): (a) 249; (b) 81