Liam, Riordan and Will had a total of 387 pens at first. After a week, the number of Liam's pens became 3 times the number of pens he had at first. The number of Riordan's pens decreased by 179. 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?
|
Liam |
Riordan |
Will |
Total |
Before |
1 u |
3 u + 179 |
12 u |
|
Change |
x 3 |
- 179 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of pens at first
=
1 u + 3 u + 179 + 12 u
= 16 u + 179
16 u + 179 = 38716 u = 387 - 17916 u = 208
1 u = 208 ÷ 16 = 13 Number of pens that Will had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 13 = 156(b)Total number of pens that the three boys had at the end = 9 u = 9 x 13 = 117 Answer(s): (a) 156; (b) 117