Adam has some green stickers and red stickers.
If Adam gives away 32 green stickers,
the green stickers will be 10% as many as the red stickers.
If Adam gives away 730 red stickers,
the green stickers will be 80% as many as the red stickers.
- How many green stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Red |
Green |
Red |
Before |
1 u + 32 |
10 u |
4 p |
5 p + 730 |
Change |
- 32 |
No change |
No change |
- 730 |
After |
1 u |
10 u |
4 p |
5 p |
(a)
10% =
10100 =
110 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u + 32
Number of red stickers at first = 10 u
Scenario 2 Number of green stickers at first = 4 p
Number of red stickers at first = 5 p + 730
1 u + 32 = 4 p --- (1)
10 u = 5 p + 730 --- (2)
(1)
x 10 10 u + 320 = 40 p
10 u = 40 p - 320 --- (3)
(3) = (2)
40 p - 320 = 5 p + 730
40 p - 5 p = 320 + 730
35 p = 1050
1 p = 1050 ÷ 35 = 30
Number of green stickers
= 4 p
= 4 x 30
= 120
(b)
Number of red stickers at first
= 5 p + 730
= 5 x 30 + 730
= 150 + 730
= 880
Answer(s): (a) 120; (b) 880