Adam has 160 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 5 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 4 = 16 u |
1 x 4 = 4 u |
3 x 4 = 12 u |
Change |
- ? |
- ? |
|
After |
5 x 3 = 15 u |
1 x 3 = 3 u |
4 x 3 = 12 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 4 is 12.
16 u = 160
1 u = 160 ÷ 16 = 10
Number of red stickers in the end
= 15 u
= 15 x 10
= 150
(b)
Number of blue stickers in the end
= 3 u
= 3 x 10
= 30
(c)
Total number of stickers in the end
= 150 + 30
= 180
(d)
Total number of stickers that Adam gives away
= (16 u - 15 u) x 2
= 1 u x 2
= 2 u
= 2 x 10
= 20
Answer(s): (a) 150; (b) 30; (c) 180; (d) 20