Adam has some red stickers and blue stickers.
If Adam gives away 25 red stickers,
the red stickers will be 20% as many as the blue stickers.
If Adam gives away 190 blue stickers,
the red stickers will be 80% as many as the blue stickers.
- How many red stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Red |
Blue |
Red |
Blue |
Before |
1 u + 25 |
5 u |
4 p |
5 p + 190 |
Change |
- 25 |
No change |
No change |
- 190 |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of red stickers at first = 1 u + 25
Number of blue stickers at first = 5 u
Scenario 2 Number of red stickers at first = 4 p
Number of blue stickers at first = 5 p + 190
1 u + 25 = 4 p --- (1)
5 u = 5 p + 190 --- (2)
(1)
x 5 5 u + 125 = 20 p
5 u = 20 p - 125 --- (3)
(3) = (2)
20 p - 125 = 5 p + 190
20 p - 5 p = 125 + 190
15 p = 315
1 p = 315 ÷ 15 = 21
Number of red stickers
= 4 p
= 4 x 21
= 84
(b)
Number of blue stickers at first
= 5 p + 190
= 5 x 21 + 190
= 105 + 190
= 295
Answer(s): (a) 84; (b) 295