Adam has some green stickers and blue stickers.
If Adam gives away 29 green stickers,
the green stickers will be 25% as many as the blue stickers.
If Adam gives away 124 blue stickers,
the green stickers will be 75% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 29 |
4 u |
3 p |
4 p + 124 |
Change |
- 29 |
No change |
No change |
- 124 |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of green stickers at first = 1 u + 29
Number of blue stickers at first = 4 u
Scenario 2 Number of green stickers at first = 3 p
Number of blue stickers at first = 4 p + 124
1 u + 29 = 3 p --- (1)
4 u = 4 p + 124 --- (2)
(1)
x 4 4 u + 116 = 12 p
4 u = 12 p - 116 --- (3)
(3) = (2)
12 p - 116 = 4 p + 124
12 p - 4 p = 116 + 124
8 p = 240
1 p = 240 ÷ 8 = 30
Number of green stickers
= 3 p
= 3 x 30
= 90
(b)
Number of blue stickers at first
= 4 p + 124
= 4 x 30 + 124
= 120 + 124
= 244
Answer(s): (a) 90; (b) 244