Wesley, Archie and Luis had a total of 443 pens at first. After a week, the number of Wesley's pens became 4 times the number of pens he had at first. The number of Archie's pens decreased by 212. Luis 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 Luis have at first?
- What was the total number of pens that the three boys had in the end?
|
Wesley |
Archie |
Luis |
Total |
Before |
1 u |
4 u + 212 |
16 u |
|
Change |
x 4 |
- 212 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of pens at first
=
1 u + 4 u + 212 + 16 u
= 21 u + 212
21 u + 212 = 44321 u = 443 - 21221 u = 231
1 u = 231 ÷ 21 = 11 Number of pens that Luis had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 11 = 176(b)Total number of pens that the three boys had at the end = 12 u = 12 x 11 = 132 Answer(s): (a) 176; (b) 132