Neave, Oliver and Owen had a total of 451 pens at first. After a week, the number of Neave's pens became 3 times the number of pens he had at first. The number of Oliver's pens decreased by 211. Owen had one-quarter as many pens as he had at first. In the end, the three boys had the same number of pens.
- How many pens did Owen have at first?
- What was the total number of pens that the three boys had in the end?
|
Neave |
Oliver |
Owen |
Total |
Before |
1 u |
3 u + 211 |
12 u |
|
Change |
x 3 |
- 211 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of pens at first
=
1 u + 3 u + 211 + 12 u
= 16 u + 211
16 u + 211 = 45116 u = 451 - 21116 u = 240
1 u = 240 ÷ 16 = 15 Number of pens that Owen had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 15 = 180(b)Total number of pens that the three boys had at the end = 9 u = 9 x 15 = 135 Answer(s): (a) 180; (b) 135