Adam has some red stickers and green stickers.
If Adam gives away 16 red stickers,
the red stickers will be 10% as many as the green stickers.
If Adam gives away 155 green stickers,
the red stickers will be 40% as many as the green stickers.
- How many red stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Red |
Green |
Red |
Green |
Before |
1 u + 16 |
10 u |
2 p |
5 p + 155 |
Change |
- 16 |
No change |
No change |
- 155 |
After |
1 u |
10 u |
2 p |
5 p |
(a)
10% =
10100 =
110 40% =
40100 =
25 Scenario 1 Number of red stickers at first = 1 u + 16
Number of green stickers at first = 10 u
Scenario 2 Number of red stickers at first = 2 p
Number of green stickers at first = 5 p + 155
1 u + 16 = 2 p --- (1)
10 u = 5 p + 155 --- (2)
(1)
x 10 10 u + 160 = 20 p
10 u = 20 p - 160 --- (3)
(3) = (2)
20 p - 160 = 5 p + 155
20 p - 5 p = 160 + 155
15 p = 315
1 p = 315 ÷ 15 = 21
Number of red stickers
= 2 p
= 2 x 21
= 42
(b)
Number of green stickers at first
= 5 p + 155
= 5 x 21 + 155
= 105 + 155
= 260
Answer(s): (a) 42; (b) 260