Nick, John and Brandon had a total of 583 marbles at first. After a week, the number of Nick's marbles became 3 times the number of marbles he had at first. The number of John's marbles decreased by 279. Brandon had one-quarter as many marbles as he had at first. In the end, the three boys had the same number of marbles.
- How many marbles did Brandon have at first?
- What was the total number of marbles that the three boys had in the end?
|
Nick |
John |
Brandon |
Total |
Before |
1 u |
3 u + 279 |
12 u |
|
Change |
x 3 |
- 279 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 279 + 12 u
= 16 u + 279
16 u + 279 = 58316 u = 583 - 27916 u = 304
1 u = 304 ÷ 16 = 19 Number of marbles that Brandon had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 19 = 228(b)Total number of marbles that the three boys had at the end = 9 u = 9 x 19 = 171 Answer(s): (a) 228; (b) 171