Zeph, Cody and Peter had a total of 486 marbles at first. After a week, the number of Zeph's marbles became 3 times the number of marbles he had at first. The number of Cody's marbles decreased by 276. Peter 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 Peter have at first?
- What was the total number of marbles that the three boys had in the end?
|
Zeph |
Cody |
Peter |
Total |
Before |
1 u |
3 u + 276 |
6 u |
|
Change |
x 3 |
- 276 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 276 + 6 u
= 10 u + 276
10 u + 276 = 48610 u = 486 - 27610 u = 210
1 u = 210 ÷ 10 = 21 Number of marbles that Peter 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