Simon, Flynn and Jenson had a total of 490 beads at first. After a week, the number of Simon's beads became 4 times the number of beads he had at first. The number of Flynn's beads decreased by 7. Jenson 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 Jenson have at first?
- What was the total number of beads that the three boys had in the end?
|
Simon |
Flynn |
Jenson |
Total |
Before |
1 u |
4 u + 7 |
16 u |
|
Change |
x 4 |
- 7 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of beads at first
=
1 u + 4 u + 7 + 16 u
= 21 u + 7
21 u + 7 = 49021 u = 490 - 721 u = 483
1 u = 483 ÷ 21 = 23 Number of beads that Jenson had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 23 = 368(b)Total number of beads that the three boys had at the end = 12 u = 12 x 23 = 276 Answer(s): (a) 368; (b) 276