Adam has some blue stickers and red stickers.
If 193 blue stickers are removed, 20% of the stickers will be blue stickers.
If 278 red stickers are removed, 10% of the stickers will be 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 + 193 |
4 u |
9 p |
1 p + 278 |
Change |
- 193 |
No change |
No change |
- 278 |
After |
1 u |
4 u |
9 p |
1 p |
(a)
20% =
20100 =
15 10% =
10100 =
110 Scenario 1Fraction of the stickers that are red
= 1 -
15 =
45 Scenario 2Fraction of the stickers that are blue
= 1 -
110 =
9101 u + 193 = 9 p --- (1)
4 u = 1 p + 278 --- (2)
From (1)
1 u = 9 p - 193 --- (3)
(3)
x 44 u = 36 p - 772 --- (4)
(4) = (2)
36 p - 772 = 1 p + 278
36 p - 1 p = 772 + 278
35 p = 1050
1 p = 1050 ÷ 35 = 30Number of blue stickers = 9 p
= 9 x 30= 270 (b) Number of red stickers = 1 p + 278 = 30 + 278 = 308 Answer(s): (a) 270; (b) 308