Wesley, Bobby and Perry had a total of 473 marbles at first. After a week, the number of Wesley's marbles became 3 times the number of marbles he had at first. The number of Bobby's marbles decreased by 297. Perry 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 Perry have at first?
- What was the total number of marbles that the three boys had in the end?
|
Wesley |
Bobby |
Perry |
Total |
Before |
1 u |
3 u + 297 |
12 u |
|
Change |
x 3 |
- 297 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 297 + 12 u
= 16 u + 297
16 u + 297 = 47316 u = 473 - 29716 u = 176
1 u = 176 ÷ 16 = 11 Number of marbles that Perry had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 11 = 132(b)Total number of marbles that the three boys had at the end = 9 u = 9 x 11 = 99 Answer(s): (a) 132; (b) 99