Adam has some blue stickers and green stickers.
If Adam gives away 18 blue stickers,
the blue stickers will be 10% as many as the green stickers.
If Adam gives away 105 green stickers,
the blue stickers will be 40% 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 + 18 |
10 u |
2 p |
5 p + 105 |
Change |
- 18 |
No change |
No change |
- 105 |
After |
1 u |
10 u |
2 p |
5 p |
(a)
10% =
10100 =
110 40% =
40100 =
25 Scenario 1 Number of blue stickers at first = 1 u + 18
Number of green stickers at first = 10 u
Scenario 2 Number of blue stickers at first = 2 p
Number of green stickers at first = 5 p + 105
1 u + 18 = 2 p --- (1)
10 u = 5 p + 105 --- (2)
(1)
x 10 10 u + 180 = 20 p
10 u = 20 p - 180 --- (3)
(3) = (2)
20 p - 180 = 5 p + 105
20 p - 5 p = 180 + 105
15 p = 285
1 p = 285 ÷ 15 = 19
Number of blue stickers
= 2 p
= 2 x 19
= 38
(b)
Number of green stickers at first
= 5 p + 105
= 5 x 19 + 105
= 95 + 105
= 200
Answer(s): (a) 38; (b) 200