Wesley, Ethan and Zeph had a total of 585 beads at first. After a week, the number of Wesley's beads became 5 times the number of beads he had at first. The number of Ethan's beads decreased by 217. Zeph had half as many beads as he had at first. In the end, the three boys had the same number of beads.
- How many beads did Zeph have at first?
- What was the total number of beads that the three boys had in the end?
|
Wesley |
Ethan |
Zeph |
Total |
Before |
1 u |
5 u + 217 |
10 u |
|
Change |
x 5 |
- 217 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of beads at first
=
1 u + 5 u + 217 + 10 u
= 16 u + 217
16 u + 217 = 58516 u = 585 - 21716 u = 368
1 u = 368 ÷ 16 = 23 Number of beads that Zeph had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 23 = 230(b)Total number of beads that the three boys had at the end = 15 u = 15 x 23 = 345 Answer(s): (a) 230; (b) 345