Adam has some blue stickers and red stickers.
If Adam gives away 35 blue stickers,
the blue stickers will be 20% as many as the red stickers.
If Adam gives away 133 red stickers,
the blue stickers will be 75% 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 + 35 |
5 u |
3 p |
4 p + 133 |
Change |
- 35 |
No change |
No change |
- 133 |
After |
1 u |
5 u |
3 p |
4 p |
(a)
20% =
20100 =
15 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u + 35
Number of red stickers at first = 5 u
Scenario 2 Number of blue stickers at first = 3 p
Number of red stickers at first = 4 p + 133
1 u + 35 = 3 p --- (1)
5 u = 4 p + 133 --- (2)
(1)
x 5 5 u + 175 = 15 p
5 u = 15 p - 175 --- (3)
(3) = (2)
15 p - 175 = 4 p + 133
15 p - 4 p = 175 + 133
11 p = 308
1 p = 308 ÷ 11 = 28
Number of blue stickers
= 3 p
= 3 x 28
= 84
(b)
Number of red stickers at first
= 4 p + 133
= 4 x 28 + 133
= 112 + 133
= 245
Answer(s): (a) 84; (b) 245