Flynn, Glen and Fabian had a total of 364 beads at first. After a week, the number of Flynn's beads became 3 times the number of beads he had at first. The number of Glen's beads decreased by 174. Fabian 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 Fabian have at first?
- What was the total number of beads that the three boys had in the end?
|
Flynn |
Glen |
Fabian |
Total |
Before |
1 u |
3 u + 174 |
6 u |
|
Change |
x 3 |
- 174 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of beads at first
=
1 u + 3 u + 174 + 6 u
= 10 u + 174
10 u + 174 = 36410 u = 364 - 17410 u = 190
1 u = 190 ÷ 10 = 19 Number of beads that Fabian had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 19 = 114(b)Total number of beads that the three boys had at the end = 9 u = 9 x 19 = 171 Answer(s): (a) 114; (b) 171