Adam has some red stickers and blue stickers.
If Adam receives another 224 blue stickers,
the red stickers will be 25% as many as the blue stickers.
If Adam receives another 50 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 - 224 |
3 p - 50 |
4 p |
Change |
No change |
+ 224 |
+ 50 |
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 - 224
Scenario 2 Number of red stickers at first = 3 p - 50
Number of blue stickers at first = 4 p
1 u = 3 p - 50 --- (1)
4 u - 224 = 4 p --- (2)
(2)
÷ 41 u - 56 = 1 p
1 u = 1 p + 56 --- (3)
(1) = (3)
3 p - 50 = 1 p + 56
3 p - 1 p = 50 + 56
2 p = 106
1 p = 106 ÷ 2 = 53
Number of red stickers
= 3 p - 50
= 3 x 53 - 50
= 159 - 50
= 109
(b)
Number of blue stickers
= 4 p
= 4 x 53
= 212
Answer(s): (a) 109; (b) 212