Adam has some red stickers and blue stickers.
If Adam receives another 580 blue stickers,
the red stickers will be 25% as many as the blue stickers.
If Adam receives another 51 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 - 580 |
3 p - 51 |
4 p |
Change |
No change |
+ 580 |
+ 51 |
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 - 580
Scenario 2 Number of red stickers at first = 3 p - 51
Number of blue stickers at first = 4 p
1 u = 3 p - 51 --- (1)
4 u - 580 = 4 p --- (2)
(2)
÷ 41 u - 145 = 1 p
1 u = 1 p + 145 --- (3)
(1) = (3)
3 p - 51 = 1 p + 145
3 p - 1 p = 51 + 145
2 p = 196
1 p = 196 ÷ 2 = 98
Number of red stickers
= 3 p - 51
= 3 x 98 - 51
= 294 - 51
= 243
(b)
Number of blue stickers
= 4 p
= 4 x 98
= 392
Answer(s): (a) 243; (b) 392