Adam has some red stickers and green stickers.
If Adam receives another 108 green stickers,
the red stickers will be 25% as many as the green stickers.
If Adam receives another 33 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 - 108 |
3 p - 33 |
4 p |
Change |
No change |
+ 108 |
+ 33 |
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 - 108
Scenario 2 Number of red stickers at first = 3 p - 33
Number of green stickers at first = 4 p
1 u = 3 p - 33 --- (1)
4 u - 108 = 4 p --- (2)
(2)
÷ 41 u - 27 = 1 p
1 u = 1 p + 27 --- (3)
(1) = (3)
3 p - 33 = 1 p + 27
3 p - 1 p = 33 + 27
2 p = 60
1 p = 60 ÷ 2 = 30
Number of red stickers
= 3 p - 33
= 3 x 30 - 33
= 90 - 33
= 57
(b)
Number of green stickers
= 4 p
= 4 x 30
= 120
Answer(s): (a) 57; (b) 120