Adam has 176 blue beads.
He has 4 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 5 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 |
4 x 4 = 16 u |
1 x 4 = 4 u |
3 x 4 = 12 u |
Change |
- ? |
- ? |
|
After |
5 x 3 = 15 u |
1 x 3 = 3 u |
4 x 3 = 12 u |
(a)
The difference in the number between the blue and red beads at first and in the end remains unchanged.
LCM of 3 and 4 is 12.
16 u = 176
1 u = 176 ÷ 16 = 11
Number of blue beads in the end
= 15 u
= 15 x 11
= 165
(b)
Number of red beads in the end
= 3 u
= 3 x 11
= 33
(c)
Total number of beads in the end
= 165 + 33
= 198
(d)
Total number of beads that Adam gives away
= (16 u - 15 u) x 2
= 1 u x 2
= 2 u
= 2 x 11
= 22
Answer(s): (a) 165; (b) 33; (c) 198; (d) 22