Jeremy, Mark and Oliver had a total of 466 beads at first. After a week, the number of Jeremy's beads became 4 times the number of beads he had at first. The number of Mark's beads decreased by 219. Oliver 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 Oliver have at first?
- What was the total number of beads that the three boys had in the end?
|
Jeremy |
Mark |
Oliver |
Total |
Before |
1 u |
4 u + 219 |
8 u |
|
Change |
x 4 |
- 219 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of beads at first
=
1 u + 4 u + 219 + 8 u
= 13 u + 219
13 u + 219 = 46613 u = 466 - 21913 u = 247
1 u = 247 ÷ 13 = 19 Number of beads that Oliver had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 19 = 152(b)Total number of beads that the three boys had at the end = 12 u = 12 x 19 = 228 Answer(s): (a) 152; (b) 228