Adam has some blue stickers and green stickers.
If Adam gives away 48 blue stickers,
the blue stickers will be 10% as many as the green stickers.
If Adam gives away 500 green stickers,
the blue stickers will be 80% 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 + 48 |
10 u |
4 p |
5 p + 500 |
Change |
- 48 |
No change |
No change |
- 500 |
After |
1 u |
10 u |
4 p |
5 p |
(a)
10% =
10100 =
110 80% =
80100 =
45 Scenario 1 Number of blue stickers at first = 1 u + 48
Number of green stickers at first = 10 u
Scenario 2 Number of blue stickers at first = 4 p
Number of green stickers at first = 5 p + 500
1 u + 48 = 4 p --- (1)
10 u = 5 p + 500 --- (2)
(1)
x 10 10 u + 480 = 40 p
10 u = 40 p - 480 --- (3)
(3) = (2)
40 p - 480 = 5 p + 500
40 p - 5 p = 480 + 500
35 p = 980
1 p = 980 ÷ 35 = 28
Number of blue stickers
= 4 p
= 4 x 28
= 112
(b)
Number of green stickers at first
= 5 p + 500
= 5 x 28 + 500
= 140 + 500
= 640
Answer(s): (a) 112; (b) 640