Adam has 30 blue stickers.
He has 3 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 5 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 |
3 x 2 = 6 u |
1 x 2 = 2 u |
2 x 2 = 4 u |
Change |
- ? |
- ? |
|
After |
5 x 1 = 5 u |
1 x 1 = 1 u |
4 x 1 = 4 u |
(a)
The difference in the number between the blue and red stickers at first and in the end remains unchanged.
LCM of 2 and 4 is 4.
6 u = 30
1 u = 30 ÷ 6 = 5
Number of blue stickers in the end
= 5 u
= 5 x 5
= 25
(b)
Number of red stickers in the end
= 1 u
= 1 x 5
= 5
(c)
Total number of stickers in the end
= 25 + 5
= 30
(d)
Total number of stickers that Adam gives away
= (6 u - 5 u) x 2
= 1 u x 2
= 2 u
= 2 x 5
= 10
Answer(s): (a) 25; (b) 5; (c) 30; (d) 10