Asher, Valen and Cole had a total of 430 pens at first. After a week, the number of Asher's pens became 5 times the number of pens he had at first. The number of Valen's pens decreased by 118. Cole 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 Cole have at first?
- What was the total number of pens that the three boys had in the end?
|
Asher |
Valen |
Cole |
Total |
Before |
1 u |
5 u + 118 |
20 u |
|
Change |
x 5 |
- 118 |
x 14 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of pens at first
=
1 u + 5 u + 118 + 20 u
= 26 u + 118
26 u + 118 = 43026 u = 430 - 11826 u = 312
1 u = 312 ÷ 26 = 12 Number of pens that Cole had at first
= 5 u ÷
14= 5 u x
41= 20 u = 20 x 12 = 240(b)Total number of pens that the three boys had at the end = 15 u = 15 x 12 = 180 Answer(s): (a) 240; (b) 180