Adam has some red stickers and green stickers.
If Adam receives another 710 green stickers,
the red stickers will be 20% as many as the green stickers.
If Adam receives another 74 red stickers,
the red stickers will be 80% as many as the green stickers.
- How many red stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Red |
Green |
Red |
Green |
Before |
1 u |
5 u - 710 |
4 p - 74 |
5 p |
Change |
No change |
+ 710 |
+ 74 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of red stickers at first = 1 u
Number of green stickers at first = 5 u - 710
Scenario 2 Number of red stickers at first = 4 p - 74
Number of green stickers at first = 5 p
1 u = 4 p - 74 --- (1)
5 u - 710 = 5 p --- (2)
(2)
÷ 51 u - 142 = 1 p
1 u = 1 p + 142 --- (3)
(1) = (3)
4 p - 74 = 1 p + 142
4 p - 1 p = 74 + 142
3 p = 216
1 p = 216 ÷ 3 = 72
Number of red stickers
= 4 p - 74
= 4 x 72 - 74
= 288 - 74
= 214
(b)
Number of green stickers
= 5 p
= 5 x 72
= 360
Answer(s): (a) 214; (b) 360