Adam has 130 red stickers.
He has 2 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 |
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 red and blue stickers at first and in the end remains unchanged.
LCM of 1 and 5 is 5.
10 u = 130
1 u = 130 ÷ 10 = 13
Number of red stickers in the end
= 6 u
= 6 x 13
= 78
(b)
Number of blue stickers in the end
= 1 u
= 1 x 13
= 13
(c)
Total number of stickers in the end
= 78 + 13
= 91
(d)
Total number of stickers that Adam gives away
= (10 u - 6 u) x 2
= 4 u x 2
= 8 u
= 8 x 13
= 104
Answer(s): (a) 78; (b) 13; (c) 91; (d) 104