Adam has 153 red stickers.
He has 3 times as many red stickers than blue stickers.
After he gives away an equal number of red and blue stickers,
the number of red stickers is 4 times that of the blue stickers.
- How many red stickers are there in the end?
- How many blue stickers are there in the end?
- How many stickers are there in the end?
- How many stickers does Adam give away?
|
Red stickers |
Blue stickers |
Difference |
Before |
3 x 3 = 9 u |
1 x 3 = 3 u |
2 x 3 = 6 u |
Change |
- ? |
- ? |
|
After |
4 x 2 = 8 u |
1 x 2 = 2 u |
3 x 2 = 6 u |
(a)
The difference in the number between the red and blue stickers at first and in the end remains unchanged.
LCM of 2 and 3 is 6.
9 u = 153
1 u = 153 ÷ 9 = 17
Number of red stickers in the end
= 8 u
= 8 x 17
= 136
(b)
Number of blue stickers in the end
= 2 u
= 2 x 17
= 34
(c)
Total number of stickers in the end
= 136 + 34
= 170
(d)
Total number of stickers that Adam gives away
= (9 u - 8 u) x 2
= 1 u x 2
= 2 u
= 2 x 17
= 34
Answer(s): (a) 136; (b) 34; (c) 170; (d) 34