Cole, Reggie and Zane had a total of 413 beads at first. After a week, the number of Cole's beads became 3 times the number of beads he had at first. The number of Reggie's beads decreased by 237. Zane 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 Zane have at first?
- What was the total number of beads that the three boys had in the end?
|
Cole |
Reggie |
Zane |
Total |
Before |
1 u |
3 u + 237 |
12 u |
|
Change |
x 3 |
- 237 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of beads at first
=
1 u + 3 u + 237 + 12 u
= 16 u + 237
16 u + 237 = 41316 u = 413 - 23716 u = 176
1 u = 176 ÷ 16 = 11 Number of beads that Zane had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 11 = 132(b)Total number of beads that the three boys had at the end = 9 u = 9 x 11 = 99 Answer(s): (a) 132; (b) 99