Adam has some blue stickers and green stickers.
If Adam receives another 16 green stickers,
the blue stickers will be 25% as many as the green stickers.
If Adam receives another 18 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 - 16 |
3 p - 18 |
4 p |
Change |
No change |
+ 16 |
+ 18 |
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 - 16
Scenario 2 Number of blue stickers at first = 3 p - 18
Number of green stickers at first = 4 p
1 u = 3 p - 18 --- (1)
4 u - 16 = 4 p --- (2)
(2)
÷ 41 u - 4 = 1 p
1 u = 1 p + 4 --- (3)
(1) = (3)
3 p - 18 = 1 p + 4
3 p - 1 p = 18 + 4
2 p = 22
1 p = 22 ÷ 2 = 11
Number of blue stickers
= 3 p - 18
= 3 x 11 - 18
= 33 - 18
= 15
(b)
Number of green stickers
= 4 p
= 4 x 11
= 44
Answer(s): (a) 15; (b) 44