Adam has 140 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 6 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 5 = 10 u |
1 x 5 = 5 u |
1 x 5 = 5 u |
Change |
- ? |
- ? |
|
After |
6 x 1 = 6 u |
1 x 1 = 1 u |
5 x 1 = 5 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 5 is 5.
10 u = 140
1 u = 140 ÷ 10 = 14
Number of blue stickers in the end
= 6 u
= 6 x 14
= 84
(b)
Number of red stickers in the end
= 1 u
= 1 x 14
= 14
(c)
Total number of stickers in the end
= 84 + 14
= 98
(d)
Total number of stickers that Adam gives away
= (10 u - 6 u) x 2
= 4 u x 2
= 8 u
= 8 x 14
= 112
Answer(s): (a) 84; (b) 14; (c) 98; (d) 112