Adam has 384 blue stickers.
He has 6 times as many blue stickers as red stickers.
After he buys 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 buy?
|
Blue stickers |
Red stickers |
Difference |
Before |
6 x 4 = 24 u |
1 x 4 = 4 u |
5 x 4 = 20 u |
Change |
+ ? |
+ ? |
|
After |
5 x 5 = 25 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
(a)
The difference in the number between the blue and red stickers at first and in the end remains unchanged.
LCM of 5 and 4 is 20.
24 u = 384
1 u = 384 ÷ 24 = 16
Number of blue stickers in the end
= 25 u
= 25 x 16
= 400
(b)
Number of red stickers in the end
= 5 u
= 5 x 16
= 80
(c)
Total number of stickers in the end
= 400 + 80
= 480
(d)
Total number of stickers that Adam buys
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 16
= 32
Answer(s): (a) 400; (b) 80; (c) 480; (d) 32