Adam has 54 blue beads.
He has 2 times as many blue beads than red beads.
After he gives away an equal number of blue and red beads,
the number of blue beads is 4 times that of the red beads.
- How many blue beads are there in the end?
- How many red beads are there in the end?
- How many beads are there in the end?
- How many beads does Adam give away?
|
Blue beads |
Red beads |
Difference |
Before |
2 x 3 = 6 u |
1 x 3 = 3 u |
1 x 3 = 3 u |
Change |
- ? |
- ? |
|
After |
4 x 1 = 4 u |
1 x 1 = 1 u |
3 x 1 = 3 u |
(a)
The difference in the number between the blue and red beads at first and in the end remains unchanged.
LCM of 1 and 3 is 3.
6 u = 54
1 u = 54 ÷ 6 = 9
Number of blue beads in the end
= 4 u
= 4 x 9
= 36
(b)
Number of red beads in the end
= 1 u
= 1 x 9
= 9
(c)
Total number of beads in the end
= 36 + 9
= 45
(d)
Total number of beads that Adam gives away
= (6 u - 4 u) x 2
= 2 u x 2
= 4 u
= 4 x 9
= 36
Answer(s): (a) 36; (b) 9; (c) 45; (d) 36