Adam has some blue stickers and green stickers.
If Adam receives another 144 green stickers,
the blue stickers will be 25% as many as the green stickers.
If Adam receives another 88 blue stickers,
the blue stickers will be 75% as many as the green stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u |
4 u - 144 |
3 p - 88 |
4 p |
Change |
No change |
+ 144 |
+ 88 |
No change |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u
Number of green stickers at first = 4 u - 144
Scenario 2 Number of blue stickers at first = 3 p - 88
Number of green stickers at first = 4 p
1 u = 3 p - 88 --- (1)
4 u - 144 = 4 p --- (2)
(2)
÷ 41 u - 36 = 1 p
1 u = 1 p + 36 --- (3)
(1) = (3)
3 p - 88 = 1 p + 36
3 p - 1 p = 88 + 36
2 p = 124
1 p = 124 ÷ 2 = 62
Number of blue stickers
= 3 p - 88
= 3 x 62 - 88
= 186 - 88
= 98
(b)
Number of green stickers
= 4 p
= 4 x 62
= 248
Answer(s): (a) 98; (b) 248