Adam has 108 blue stickers.
He has 2 times as many blue stickers than red stickers.
After he gives away an equal number of blue and red stickers,
the number of blue stickers is 4 times that of the red stickers.
- How many blue stickers are there in the end?
- How many red stickers are there in the end?
- How many stickers are there in the end?
- How many stickers does Adam give away?
|
Blue stickers |
Red stickers |
Difference |
Before |
2 x 3 = 6 u |
1 x 3 = 3 u |
1 x 3 = 3 u |
Change |
- ? |
- ? |
|
After |
4 x 1 = 4 u |
1 x 1 = 1 u |
3 x 1 = 3 u |
(a)
The difference in the number between the blue and red stickers at first and in the end remains unchanged.
LCM of 1 and 3 is 3.
6 u = 108
1 u = 108 ÷ 6 = 18
Number of blue stickers in the end
= 4 u
= 4 x 18
= 72
(b)
Number of red stickers in the end
= 1 u
= 1 x 18
= 18
(c)
Total number of stickers in the end
= 72 + 18
= 90
(d)
Total number of stickers that Adam gives away
= (6 u - 4 u) x 2
= 2 u x 2
= 4 u
= 4 x 18
= 72
Answer(s): (a) 72; (b) 18; (c) 90; (d) 72