Ahmad, Fabian and Cole had a total of 478 beads at first. After a week, the number of Ahmad's beads became 3 times the number of beads he had at first. The number of Fabian's beads decreased by 62. Cole 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 Cole have at first?
- What was the total number of beads that the three boys had in the end?
|
Ahmad |
Fabian |
Cole |
Total |
Before |
1 u |
3 u + 62 |
12 u |
|
Change |
x 3 |
- 62 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of beads at first
=
1 u + 3 u + 62 + 12 u
= 16 u + 62
16 u + 62 = 47816 u = 478 - 6216 u = 416
1 u = 416 ÷ 16 = 26 Number of beads that Cole had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 26 = 312(b)Total number of beads that the three boys had at the end = 9 u = 9 x 26 = 234 Answer(s): (a) 312; (b) 234