Ryan, Tommy and Vincent had a total of 512 beads at first. After a week, the number of Ryan's beads became 3 times the number of beads he had at first. The number of Tommy's beads decreased by 176. Vincent 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 Vincent have at first?
- What was the total number of beads that the three boys had in the end?
|
Ryan |
Tommy |
Vincent |
Total |
Before |
1 u |
3 u + 176 |
12 u |
|
Change |
x 3 |
- 176 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of beads at first
=
1 u + 3 u + 176 + 12 u
= 16 u + 176
16 u + 176 = 51216 u = 512 - 17616 u = 336
1 u = 336 ÷ 16 = 21 Number of beads that Vincent had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 21 = 252(b)Total number of beads that the three boys had at the end = 9 u = 9 x 21 = 189 Answer(s): (a) 252; (b) 189