Adam has 162 red beads.
He has 3 times as many red beads than blue beads.
After he gives away 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 give away?
|
Red beads |
Blue beads |
Difference |
Before |
3 x 3 = 9 u |
1 x 3 = 3 u |
2 x 3 = 6 u |
Change |
- ? |
- ? |
|
After |
4 x 2 = 8 u |
1 x 2 = 2 u |
3 x 2 = 6 u |
(a)
The difference in the number between the red and blue beads at first and in the end remains unchanged.
LCM of 2 and 3 is 6.
9 u = 162
1 u = 162 ÷ 9 = 18
Number of red beads in the end
= 8 u
= 8 x 18
= 144
(b)
Number of blue beads in the end
= 2 u
= 2 x 18
= 36
(c)
Total number of beads in the end
= 144 + 36
= 180
(d)
Total number of beads that Adam gives away
= (9 u - 8 u) x 2
= 1 u x 2
= 2 u
= 2 x 18
= 36
Answer(s): (a) 144; (b) 36; (c) 180; (d) 36