Adam has some red stickers and blue stickers.
If Adam gives away 14 red stickers,
the red stickers will be 10% as many as the blue stickers.
If Adam gives away 910 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 + 14 |
10 u |
4 p |
5 p + 910 |
Change |
- 14 |
No change |
No change |
- 910 |
After |
1 u |
10 u |
4 p |
5 p |
(a)
10% =
10100 =
110 80% =
80100 =
45 Scenario 1 Number of red stickers at first = 1 u + 14
Number of blue stickers at first = 10 u
Scenario 2 Number of red stickers at first = 4 p
Number of blue stickers at first = 5 p + 910
1 u + 14 = 4 p --- (1)
10 u = 5 p + 910 --- (2)
(1)
x 10 10 u + 140 = 40 p
10 u = 40 p - 140 --- (3)
(3) = (2)
40 p - 140 = 5 p + 910
40 p - 5 p = 140 + 910
35 p = 1050
1 p = 1050 ÷ 35 = 30
Number of red stickers
= 4 p
= 4 x 30
= 120
(b)
Number of blue stickers at first
= 5 p + 910
= 5 x 30 + 910
= 150 + 910
= 1060
Answer(s): (a) 120; (b) 1060