Adam has some red stickers and green stickers.
If Adam receives another 152 green stickers,
the red stickers will be 25% as many as the green stickers.
If Adam receives another 98 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 - 152 |
3 p - 98 |
4 p |
Change |
No change |
+ 152 |
+ 98 |
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 - 152
Scenario 2 Number of red stickers at first = 3 p - 98
Number of green stickers at first = 4 p
1 u = 3 p - 98 --- (1)
4 u - 152 = 4 p --- (2)
(2)
÷ 41 u - 38 = 1 p
1 u = 1 p + 38 --- (3)
(1) = (3)
3 p - 98 = 1 p + 38
3 p - 1 p = 98 + 38
2 p = 136
1 p = 136 ÷ 2 = 68
Number of red stickers
= 3 p - 98
= 3 x 68 - 98
= 204 - 98
= 106
(b)
Number of green stickers
= 4 p
= 4 x 68
= 272
Answer(s): (a) 106; (b) 272