Adam has some red stickers and blue stickers.
If Adam receives another 624 blue stickers,
the red stickers will be 25% as many as the blue stickers.
If Adam receives another 34 red stickers,
the red stickers will be 75% 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 |
4 u - 624 |
3 p - 34 |
4 p |
Change |
No change |
+ 624 |
+ 34 |
No change |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of red stickers at first = 1 u
Number of blue stickers at first = 4 u - 624
Scenario 2 Number of red stickers at first = 3 p - 34
Number of blue stickers at first = 4 p
1 u = 3 p - 34 --- (1)
4 u - 624 = 4 p --- (2)
(2)
÷ 41 u - 156 = 1 p
1 u = 1 p + 156 --- (3)
(1) = (3)
3 p - 34 = 1 p + 156
3 p - 1 p = 34 + 156
2 p = 190
1 p = 190 ÷ 2 = 95
Number of red stickers
= 3 p - 34
= 3 x 95 - 34
= 285 - 34
= 251
(b)
Number of blue stickers
= 4 p
= 4 x 95
= 380
Answer(s): (a) 251; (b) 380