Oscar, Vincent and Will had a total of 458 pens at first. After a week, the number of Oscar's pens became 4 times the number of pens he had at first. The number of Vincent's pens decreased by 17. Will 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 Will have at first?
- What was the total number of pens that the three boys had in the end?
|
Oscar |
Vincent |
Will |
Total |
Before |
1 u |
4 u + 17 |
16 u |
|
Change |
x 4 |
- 17 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of pens at first
=
1 u + 4 u + 17 + 16 u
= 21 u + 17
21 u + 17 = 45821 u = 458 - 1721 u = 441
1 u = 441 ÷ 21 = 21 Number of pens that Will had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 21 = 336(b)Total number of pens that the three boys had at the end = 12 u = 12 x 21 = 252 Answer(s): (a) 336; (b) 252