Adam has some blue stickers and green stickers.
If Adam gives away 24 blue stickers,
the blue stickers will be 10% as many as the green stickers.
If Adam gives away 306 green 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 + 24 |
10 u |
3 p |
4 p + 306 |
Change |
- 24 |
No change |
No change |
- 306 |
After |
1 u |
10 u |
3 p |
4 p |
(a)
10% =
10100 =
110 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u + 24
Number of green stickers at first = 10 u
Scenario 2 Number of blue stickers at first = 3 p
Number of green stickers at first = 4 p + 306
1 u + 24 = 3 p --- (1)
10 u = 4 p + 306 --- (2)
(1)
x 10 10 u + 240 = 30 p
10 u = 30 p - 240 --- (3)
(3) = (2)
30 p - 240 = 4 p + 306
30 p - 4 p = 240 + 306
26 p = 546
1 p = 546 ÷ 26 = 21
Number of blue stickers
= 3 p
= 3 x 21
= 63
(b)
Number of green stickers at first
= 4 p + 306
= 4 x 21 + 306
= 84 + 306
= 390
Answer(s): (a) 63; (b) 390