Adam has 220 blue stickers.
He has 4 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 |
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 blue and red stickers at first and in the end remains unchanged.
LCM of 3 and 5 is 15.
20 u = 220
1 u = 220 ÷ 20 = 11
Number of blue stickers in the end
= 18 u
= 18 x 11
= 198
(b)
Number of red stickers in the end
= 3 u
= 3 x 11
= 33
(c)
Total number of stickers in the end
= 198 + 33
= 231
(d)
Total number of stickers that Adam gives away
= (20 u - 18 u) x 2
= 2 u x 2
= 4 u
= 4 x 11
= 44
Answer(s): (a) 198; (b) 33; (c) 231; (d) 44