Adam has some red stickers and blue stickers.
If Adam receives another 370 blue stickers,
the red stickers will be 20% as many as the blue stickers.
If Adam receives another 34 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 - 370 |
4 p - 34 |
5 p |
Change |
No change |
+ 370 |
+ 34 |
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 - 370
Scenario 2 Number of red stickers at first = 4 p - 34
Number of blue stickers at first = 5 p
1 u = 4 p - 34 --- (1)
5 u - 370 = 5 p --- (2)
(2)
÷ 51 u - 74 = 1 p
1 u = 1 p + 74 --- (3)
(1) = (3)
4 p - 34 = 1 p + 74
4 p - 1 p = 34 + 74
3 p = 108
1 p = 108 ÷ 3 = 36
Number of red stickers
= 4 p - 34
= 4 x 36 - 34
= 144 - 34
= 110
(b)
Number of blue stickers
= 5 p
= 5 x 36
= 180
Answer(s): (a) 110; (b) 180