Perry, Sean and Oliver had a total of 562 marbles at first. After a week, the number of Perry's marbles became 3 times the number of marbles he had at first. The number of Sean's marbles decreased by 322. Oliver 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 Oliver have at first?
- What was the total number of marbles that the three boys had in the end?
|
Perry |
Sean |
Oliver |
Total |
Before |
1 u |
3 u + 322 |
12 u |
|
Change |
x 3 |
- 322 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of marbles at first
=
1 u + 3 u + 322 + 12 u
= 16 u + 322
16 u + 322 = 56216 u = 562 - 32216 u = 240
1 u = 240 ÷ 16 = 15 Number of marbles that Oliver had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 15 = 180(b)Total number of marbles that the three boys had at the end = 9 u = 9 x 15 = 135 Answer(s): (a) 180; (b) 135