Adam has some red stickers and blue stickers.
If Adam receives another 464 blue stickers,
the red stickers will be 25% as many as the blue stickers.
If Adam receives another 16 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 - 464 |
3 p - 16 |
4 p |
Change |
No change |
+ 464 |
+ 16 |
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 - 464
Scenario 2 Number of red stickers at first = 3 p - 16
Number of blue stickers at first = 4 p
1 u = 3 p - 16 --- (1)
4 u - 464 = 4 p --- (2)
(2)
÷ 41 u - 116 = 1 p
1 u = 1 p + 116 --- (3)
(1) = (3)
3 p - 16 = 1 p + 116
3 p - 1 p = 16 + 116
2 p = 132
1 p = 132 ÷ 2 = 66
Number of red stickers
= 3 p - 16
= 3 x 66 - 16
= 198 - 16
= 182
(b)
Number of blue stickers
= 4 p
= 4 x 66
= 264
Answer(s): (a) 182; (b) 264