Japheth, Tom and Bobby had a total of 322 marbles at first. After a week, the number of Japheth's marbles became 3 times the number of marbles he had at first. The number of Tom's marbles decreased by 112. Bobby had half as many marbles as he had at first. In the end, the three boys had the same number of marbles.
- How many marbles did Bobby have at first?
- What was the total number of marbles that the three boys had in the end?
|
Japheth |
Tom |
Bobby |
Total |
Before |
1 u |
3 u + 112 |
6 u |
|
Change |
x 3 |
- 112 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 112 + 6 u
= 10 u + 112
10 u + 112 = 32210 u = 322 - 11210 u = 210
1 u = 210 ÷ 10 = 21 Number of marbles that Bobby had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 21 = 126(b)Total number of marbles that the three boys had at the end = 9 u = 9 x 21 = 189 Answer(s): (a) 126; (b) 189