Adam has 200 red stickers.
He has 5 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 |
5 x 5 = 25 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
Change |
- ? |
- ? |
|
After |
6 x 4 = 24 u |
1 x 4 = 4 u |
5 x 4 = 20 u |
(a)
The difference in the number between the red and blue stickers at first and in the end remains unchanged.
LCM of 4 and 5 is 20.
25 u = 200
1 u = 200 ÷ 25 = 8
Number of red stickers in the end
= 24 u
= 24 x 8
= 192
(b)
Number of blue stickers in the end
= 4 u
= 4 x 8
= 32
(c)
Total number of stickers in the end
= 192 + 32
= 224
(d)
Total number of stickers that Adam gives away
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 8
= 16
Answer(s): (a) 192; (b) 32; (c) 224; (d) 16