Adam has some green stickers and blue stickers.
If Adam receives another 245 blue stickers,
the green stickers will be 20% as many as the blue stickers.
If Adam receives another 32 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 - 245 |
4 p - 32 |
5 p |
Change |
No change |
+ 245 |
+ 32 |
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 - 245
Scenario 2 Number of green stickers at first = 4 p - 32
Number of blue stickers at first = 5 p
1 u = 4 p - 32 --- (1)
5 u - 245 = 5 p --- (2)
(2)
÷ 51 u - 49 = 1 p
1 u = 1 p + 49 --- (3)
(1) = (3)
4 p - 32 = 1 p + 49
4 p - 1 p = 32 + 49
3 p = 81
1 p = 81 ÷ 3 = 27
Number of green stickers
= 4 p - 32
= 4 x 27 - 32
= 108 - 32
= 76
(b)
Number of blue stickers
= 5 p
= 5 x 27
= 135
Answer(s): (a) 76; (b) 135