Adam has 114 red beads.
He has 2 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 |
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 red and blue beads at first and in the end remains unchanged.
LCM of 1 and 3 is 3.
6 u = 114
1 u = 114 ÷ 6 = 19
Number of red beads in the end
= 4 u
= 4 x 19
= 76
(b)
Number of blue beads in the end
= 1 u
= 1 x 19
= 19
(c)
Total number of beads in the end
= 76 + 19
= 95
(d)
Total number of beads that Adam gives away
= (6 u - 4 u) x 2
= 2 u x 2
= 4 u
= 4 x 19
= 76
Answer(s): (a) 76; (b) 19; (c) 95; (d) 76