Billy, Vaidev and Luis had a total of 589 beads at first. After a week, the number of Billy's beads became 4 times the number of beads he had at first. The number of Vaidev's beads decreased by 22. Luis had one-quarter as many beads as he had at first. In the end, the three boys had the same number of beads.
- How many beads did Luis have at first?
- What was the total number of beads that the three boys had in the end?
|
Billy |
Vaidev |
Luis |
Total |
Before |
1 u |
4 u + 22 |
16 u |
|
Change |
x 4 |
- 22 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of beads at first
=
1 u + 4 u + 22 + 16 u
= 21 u + 22
21 u + 22 = 58921 u = 589 - 2221 u = 567
1 u = 567 ÷ 21 = 27 Number of beads that Luis had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 27 = 432(b)Total number of beads that the three boys had at the end = 12 u = 12 x 27 = 324 Answer(s): (a) 432; (b) 324