Adam has some blue stickers and red stickers.
If Adam receives another 60 red stickers,
the blue stickers will be 25% as many as the red stickers.
If Adam receives another 73 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 - 60 |
3 p - 73 |
4 p |
Change |
No change |
+ 60 |
+ 73 |
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 - 60
Scenario 2 Number of blue stickers at first = 3 p - 73
Number of red stickers at first = 4 p
1 u = 3 p - 73 --- (1)
4 u - 60 = 4 p --- (2)
(2)
÷ 41 u - 15 = 1 p
1 u = 1 p + 15 --- (3)
(1) = (3)
3 p - 73 = 1 p + 15
3 p - 1 p = 73 + 15
2 p = 88
1 p = 88 ÷ 2 = 44
Number of blue stickers
= 3 p - 73
= 3 x 44 - 73
= 132 - 73
= 59
(b)
Number of red stickers
= 4 p
= 4 x 44
= 176
Answer(s): (a) 59; (b) 176