Adam has some blue stickers and red stickers.
If Adam gives away 24 blue stickers,
the blue stickers will be 20% as many as the red stickers.
If Adam gives away 180 red stickers,
the blue stickers will be 80% as many as the red stickers.
- How many blue stickers are there?
- How many red stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Red |
Blue |
Red |
Before |
1 u + 24 |
5 u |
4 p |
5 p + 180 |
Change |
- 24 |
No change |
No change |
- 180 |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of blue stickers at first = 1 u + 24
Number of red stickers at first = 5 u
Scenario 2 Number of blue stickers at first = 4 p
Number of red stickers at first = 5 p + 180
1 u + 24 = 4 p --- (1)
5 u = 5 p + 180 --- (2)
(1)
x 5 5 u + 120 = 20 p
5 u = 20 p - 120 --- (3)
(3) = (2)
20 p - 120 = 5 p + 180
20 p - 5 p = 120 + 180
15 p = 300
1 p = 300 ÷ 15 = 20
Number of blue stickers
= 4 p
= 4 x 20
= 80
(b)
Number of red stickers at first
= 5 p + 180
= 5 x 20 + 180
= 100 + 180
= 280
Answer(s): (a) 80; (b) 280