Adam has 300 red stickers.
He has 4 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 6 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 |
4 x 5 = 20 u |
1 x 5 = 5 u |
3 x 5 = 15 u |
Change |
- ? |
- ? |
|
After |
6 x 3 = 18 u |
1 x 3 = 3 u |
5 x 3 = 15 u |
(a)
The difference in the number between the red and blue stickers at first and in the end remains unchanged.
LCM of 3 and 5 is 15.
20 u = 300
1 u = 300 ÷ 20 = 15
Number of red stickers in the end
= 18 u
= 18 x 15
= 270
(b)
Number of blue stickers in the end
= 3 u
= 3 x 15
= 45
(c)
Total number of stickers in the end
= 270 + 45
= 315
(d)
Total number of stickers that Adam gives away
= (20 u - 18 u) x 2
= 2 u x 2
= 4 u
= 4 x 15
= 60
Answer(s): (a) 270; (b) 45; (c) 315; (d) 60