Adam has some red stickers and green stickers.
If Adam receives another 184 green stickers,
the red stickers will be 25% as many as the green stickers.
If Adam receives another 12 red stickers,
the red stickers will be 75% 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 |
4 u - 184 |
3 p - 12 |
4 p |
Change |
No change |
+ 184 |
+ 12 |
No change |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of red stickers at first = 1 u
Number of green stickers at first = 4 u - 184
Scenario 2 Number of red stickers at first = 3 p - 12
Number of green stickers at first = 4 p
1 u = 3 p - 12 --- (1)
4 u - 184 = 4 p --- (2)
(2)
÷ 41 u - 46 = 1 p
1 u = 1 p + 46 --- (3)
(1) = (3)
3 p - 12 = 1 p + 46
3 p - 1 p = 12 + 46
2 p = 58
1 p = 58 ÷ 2 = 29
Number of red stickers
= 3 p - 12
= 3 x 29 - 12
= 87 - 12
= 75
(b)
Number of green stickers
= 4 p
= 4 x 29
= 116
Answer(s): (a) 75; (b) 116