Ken, Eric and Vaidev had a total of 581 beads at first. After a week, the number of Ken's beads became 4 times the number of beads he had at first. The number of Eric's beads decreased by 371. Vaidev 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 Vaidev have at first?
- What was the total number of beads that the three boys had in the end?
|
Ken |
Eric |
Vaidev |
Total |
Before |
1 u |
4 u + 371 |
16 u |
|
Change |
x 4 |
- 371 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of beads at first
=
1 u + 4 u + 371 + 16 u
= 21 u + 371
21 u + 371 = 58121 u = 581 - 37121 u = 210
1 u = 210 ÷ 21 = 10 Number of beads that Vaidev had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 10 = 160(b)Total number of beads that the three boys had at the end = 12 u = 12 x 10 = 120 Answer(s): (a) 160; (b) 120