Adam has some blue stickers and red stickers.
If 396 blue stickers are removed, 80% of the stickers will be red stickers.
If 179 blue stickers are added, 30% 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 |
3 u + 396 |
12 u |
28 u - 179 |
12 u |
Change |
- 396 |
No change |
+ 179 |
No change |
After |
1x3 = 3 u |
4x3 = 12 u |
7x4 = 28 u |
3x4 = 12 u |
(a)
80% =
80100 =
4530% =
30100 =
310Scenario 1 Fraction of the stickers that are blue in the end
= 1 -
45 =
15 Scenario 2
Fraction of the stickers that are blue in the end
= 1 -
310 =
710 The number of red stickers remains unchanged in both scenarios.
LCM of 4 and 3 = 12
28 u - 179 = 3 u + 396
28 u - 3 u = 396 + 179
25 u = 575
1 u = 575 ÷ 25 = 23
Number of blue stickers
= 3 u + 396
= 3 x 23 + 396
= 69 + 396
= 465
(b)
Number of red stickers
= 12 u
= 12 x 23
= 276
Answer(s): (a) 465; (b) 276