Adam has 120 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 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 |
2 x 4 = 8 u |
1 x 4 = 4 u |
1 x 4 = 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 1 and 4 is 4.
8 u = 120
1 u = 120 ÷ 8 = 15
Number of blue stickers in the end
= 5 u
= 5 x 15
= 75
(b)
Number of red stickers in the end
= 1 u
= 1 x 15
= 15
(c)
Total number of stickers in the end
= 75 + 15
= 90
(d)
Total number of stickers that Adam gives away
= (8 u - 5 u) x 2
= 3 u x 2
= 6 u
= 6 x 15
= 90
Answer(s): (a) 75; (b) 15; (c) 90; (d) 90