Adam has some blue stickers and red stickers.
If Adam receives another 516 red stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam receives another 47 blue 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 |
4 u - 516 |
3 p - 47 |
4 p |
Change |
No change |
+ 516 |
+ 47 |
No change |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u
Number of red stickers at first = 4 u - 516
Scenario 2 Number of blue stickers at first = 3 p - 47
Number of red stickers at first = 4 p
1 u = 3 p - 47 --- (1)
4 u - 516 = 4 p --- (2)
(2)
÷ 41 u - 129 = 1 p
1 u = 1 p + 129 --- (3)
(1) = (3)
3 p - 47 = 1 p + 129
3 p - 1 p = 47 + 129
2 p = 176
1 p = 176 ÷ 2 = 88
Number of blue stickers
= 3 p - 47
= 3 x 88 - 47
= 264 - 47
= 217
(b)
Number of red stickers
= 4 p
= 4 x 88
= 352
Answer(s): (a) 217; (b) 352