Daniel, Liam and Jenson had a total of 583 pens at first. After a week, the number of Daniel's pens became 3 times the number of pens he had at first. The number of Liam's pens decreased by 135. Jenson 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 Jenson have at first?
- What was the total number of pens that the three boys had in the end?
|
Daniel |
Liam |
Jenson |
Total |
Before |
1 u |
3 u + 135 |
12 u |
|
Change |
x 3 |
- 135 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of pens at first
=
1 u + 3 u + 135 + 12 u
= 16 u + 135
16 u + 135 = 58316 u = 583 - 13516 u = 448
1 u = 448 ÷ 16 = 28 Number of pens that Jenson had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 28 = 336(b)Total number of pens that the three boys had at the end = 9 u = 9 x 28 = 252 Answer(s): (a) 336; (b) 252