Oliver, Zeph and Simon had a total of 482 marbles at first. After a week, the number of Oliver's marbles became 4 times the number of marbles he had at first. The number of Zeph's marbles decreased by 131. Simon 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 Simon have at first?
- What was the total number of marbles that the three boys had in the end?
|
Oliver |
Zeph |
Simon |
Total |
Before |
1 u |
4 u + 131 |
8 u |
|
Change |
x 4 |
- 131 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of marbles at first
=
1 u + 4 u + 131 + 8 u
= 13 u + 131
13 u + 131 = 48213 u = 482 - 13113 u = 351
1 u = 351 ÷ 13 = 27 Number of marbles that Simon had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 27 = 216(b)Total number of marbles that the three boys had at the end = 12 u = 12 x 27 = 324 Answer(s): (a) 216; (b) 324