Adam has some blue stickers and green stickers.
If Adam receives another 995 green stickers,
the blue stickers will be 20% as many as the green stickers.
If Adam receives another 35 blue stickers,
the blue stickers will be 80% as many as the green stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u |
5 u - 995 |
4 p - 35 |
5 p |
Change |
No change |
+ 995 |
+ 35 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of blue stickers at first = 1 u
Number of green stickers at first = 5 u - 995
Scenario 2 Number of blue stickers at first = 4 p - 35
Number of green stickers at first = 5 p
1 u = 4 p - 35 --- (1)
5 u - 995 = 5 p --- (2)
(2)
÷ 51 u - 199 = 1 p
1 u = 1 p + 199 --- (3)
(1) = (3)
4 p - 35 = 1 p + 199
4 p - 1 p = 35 + 199
3 p = 234
1 p = 234 ÷ 3 = 78
Number of blue stickers
= 4 p - 35
= 4 x 78 - 35
= 312 - 35
= 277
(b)
Number of green stickers
= 5 p
= 5 x 78
= 390
Answer(s): (a) 277; (b) 390