Henry, Bryan and Eric had a total of 580 beads at first. After a week, the number of Henry's beads became 4 times the number of beads he had at first. The number of Bryan's beads decreased by 181. Eric 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 Eric have at first?
- What was the total number of beads that the three boys had in the end?
|
Henry |
Bryan |
Eric |
Total |
Before |
1 u |
4 u + 181 |
16 u |
|
Change |
x 4 |
- 181 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of beads at first
=
1 u + 4 u + 181 + 16 u
= 21 u + 181
21 u + 181 = 58021 u = 580 - 18121 u = 399
1 u = 399 ÷ 21 = 19 Number of beads that Eric had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 19 = 304(b)Total number of beads that the three boys had at the end = 12 u = 12 x 19 = 228 Answer(s): (a) 304; (b) 228