Fabian, Warren and Jeremy had a total of 418 beads at first. After a week, the number of Fabian's beads became 5 times the number of beads he had at first. The number of Warren's beads decreased by 98. Jeremy 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 Jeremy have at first?
- What was the total number of beads that the three boys had in the end?
|
Fabian |
Warren |
Jeremy |
Total |
Before |
1 u |
5 u + 98 |
10 u |
|
Change |
x 5 |
- 98 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of beads at first
=
1 u + 5 u + 98 + 10 u
= 16 u + 98
16 u + 98 = 41816 u = 418 - 9816 u = 320
1 u = 320 ÷ 16 = 20 Number of beads that Jeremy had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 20 = 200(b)Total number of beads that the three boys had at the end = 15 u = 15 x 20 = 300 Answer(s): (a) 200; (b) 300