Adam has 252 blue beads.
He has 6 times as many blue beads as red beads.
After he buys 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 buy?
|
Blue beads |
Red beads |
Difference |
Before |
6 x 3 = 18 u |
1 x 3 = 3 u |
5 x 3 = 15 u |
Change |
+ ? |
+ ? |
|
After |
4 x 5 = 20 u |
1 x 5 = 5 u |
3 x 5 = 15 u |
(a)
The difference in the number between the blue and red beads at first and in the end remains unchanged.
LCM of 5 and 3 is 15.
18 u = 252
1 u = 252 ÷ 18 = 14
Number of blue beads in the end
= 20 u
= 20 x 14
= 280
(b)
Number of red beads in the end
= 5 u
= 5 x 14
= 70
(c)
Total number of beads in the end
= 280 + 70
= 350
(d)
Total number of beads that Adam buys
= (20 u - 18 u) x 2
= 2 u x 2
= 4 u
= 4 x 14
= 56
Answer(s): (a) 280; (b) 70; (c) 350; (d) 56