Adam has 165 red beads.
He has 5 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 4 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 |
5 x 3 = 15 u |
1 x 3 = 3 u |
4 x 3 = 12 u |
Change |
+ ? |
+ ? |
|
After |
4 x 4 = 16 u |
1 x 4 = 4 u |
3 x 4 = 12 u |
(a)
The difference in the number between the red and blue beads at first and in the end remains unchanged.
LCM of 4 and 3 is 12.
15 u = 165
1 u = 165 ÷ 15 = 11
Number of red beads in the end
= 16 u
= 16 x 11
= 176
(b)
Number of blue beads in the end
= 4 u
= 4 x 11
= 44
(c)
Total number of beads in the end
= 176 + 44
= 220
(d)
Total number of beads that Adam buys
= (16 u - 15 u) x 2
= 1 u x 2
= 2 u
= 2 x 11
= 22
Answer(s): (a) 176; (b) 44; (c) 220; (d) 22