Adam has 264 red beads.
He has 6 times as many red beads as blue beads.
After he buys an equal number of red and blue beads,
the number of red beads is 5 times that of the blue beads.
- How many red beads are there in the end?
- How many blue beads are there in the end?
- How many beads are there in the end?
- How many beads does Adam buy?
|
Red beads |
Blue beads |
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 red and blue beads at first and in the end remains unchanged.
LCM of 5 and 4 is 20.
24 u = 264
1 u = 264 ÷ 24 = 11
Number of red beads in the end
= 25 u
= 25 x 11
= 275
(b)
Number of blue beads in the end
= 5 u
= 5 x 11
= 55
(c)
Total number of beads in the end
= 275 + 55
= 330
(d)
Total number of beads that Adam buys
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 11
= 22
Answer(s): (a) 275; (b) 55; (c) 330; (d) 22