Adam has some green stickers and blue stickers.
If Adam receives another 260 blue stickers,
the green stickers will be 20% as many as the blue stickers.
If Adam receives another 53 green stickers,
the green stickers will be 80% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u |
5 u - 260 |
4 p - 53 |
5 p |
Change |
No change |
+ 260 |
+ 53 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u
Number of blue stickers at first = 5 u - 260
Scenario 2 Number of green stickers at first = 4 p - 53
Number of blue stickers at first = 5 p
1 u = 4 p - 53 --- (1)
5 u - 260 = 5 p --- (2)
(2)
÷ 51 u - 52 = 1 p
1 u = 1 p + 52 --- (3)
(1) = (3)
4 p - 53 = 1 p + 52
4 p - 1 p = 53 + 52
3 p = 105
1 p = 105 ÷ 3 = 35
Number of green stickers
= 4 p - 53
= 4 x 35 - 53
= 140 - 53
= 87
(b)
Number of blue stickers
= 5 p
= 5 x 35
= 175
Answer(s): (a) 87; (b) 175