Adam has some green stickers and blue stickers.
If Adam receives another 560 blue stickers,
the green stickers will be 20% as many as the blue stickers.
If Adam receives another 74 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 - 560 |
4 p - 74 |
5 p |
Change |
No change |
+ 560 |
+ 74 |
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 - 560
Scenario 2 Number of green stickers at first = 4 p - 74
Number of blue stickers at first = 5 p
1 u = 4 p - 74 --- (1)
5 u - 560 = 5 p --- (2)
(2)
÷ 51 u - 112 = 1 p
1 u = 1 p + 112 --- (3)
(1) = (3)
4 p - 74 = 1 p + 112
4 p - 1 p = 74 + 112
3 p = 186
1 p = 186 ÷ 3 = 62
Number of green stickers
= 4 p - 74
= 4 x 62 - 74
= 248 - 74
= 174
(b)
Number of blue stickers
= 5 p
= 5 x 62
= 310
Answer(s): (a) 174; (b) 310