Adam has some red stickers and blue stickers.
If Adam receives another 1065 blue stickers,
the red stickers will be 20% as many as the blue stickers.
If Adam receives another 39 red stickers,
the red stickers will be 80% 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 |
5 u - 1065 |
4 p - 39 |
5 p |
Change |
No change |
+ 1065 |
+ 39 |
No change |
After |
1 u |
5 u |
4 p |
5 p |
(a)
20% =
20100 =
15 80% =
80100 =
45 Scenario 1 Number of red stickers at first = 1 u
Number of blue stickers at first = 5 u - 1065
Scenario 2 Number of red stickers at first = 4 p - 39
Number of blue stickers at first = 5 p
1 u = 4 p - 39 --- (1)
5 u - 1065 = 5 p --- (2)
(2)
÷ 51 u - 213 = 1 p
1 u = 1 p + 213 --- (3)
(1) = (3)
4 p - 39 = 1 p + 213
4 p - 1 p = 39 + 213
3 p = 252
1 p = 252 ÷ 3 = 84
Number of red stickers
= 4 p - 39
= 4 x 84 - 39
= 336 - 39
= 297
(b)
Number of blue stickers
= 5 p
= 5 x 84
= 420
Answer(s): (a) 297; (b) 420