Nick, David and Glen had a total of 326 beads at first. After a week, the number of Nick's beads became 5 times the number of beads he had at first. The number of David's beads decreased by 166. Glen 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 Glen have at first?
- What was the total number of beads that the three boys had in the end?
|
Nick |
David |
Glen |
Total |
Before |
1 u |
5 u + 166 |
10 u |
|
Change |
x 5 |
- 166 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of beads at first
=
1 u + 5 u + 166 + 10 u
= 16 u + 166
16 u + 166 = 32616 u = 326 - 16616 u = 160
1 u = 160 ÷ 16 = 10 Number of beads that Glen had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 10 = 100(b)Total number of beads that the three boys had at the end = 15 u = 15 x 10 = 150 Answer(s): (a) 100; (b) 150