Liam, Jeremy and Peter had a total of 387 pens at first. After a week, the number of Liam's pens became 4 times the number of pens he had at first. The number of Jeremy's pens decreased by 192. Peter had half as many pens as he had at first. In the end, the three boys had the same number of pens.
- How many pens did Peter have at first?
- What was the total number of pens that the three boys had in the end?
|
Liam |
Jeremy |
Peter |
Total |
Before |
1 u |
4 u + 192 |
8 u |
|
Change |
x 4 |
- 192 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of pens at first
=
1 u + 4 u + 192 + 8 u
= 13 u + 192
13 u + 192 = 38713 u = 387 - 19213 u = 195
1 u = 195 ÷ 13 = 15 Number of pens that Peter had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 15 = 120(b)Total number of pens that the three boys had at the end = 12 u = 12 x 15 = 180 Answer(s): (a) 120; (b) 180