Elijah, Charlie and Tim had a total of 322 pens at first. After a week, the number of Elijah's pens became 5 times the number of pens he had at first. The number of Charlie's pens decreased by 146. Tim 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 Tim have at first?
- What was the total number of pens that the three boys had in the end?
|
Elijah |
Charlie |
Tim |
Total |
Before |
1 u |
5 u + 146 |
10 u |
|
Change |
x 5 |
- 146 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of pens at first
=
1 u + 5 u + 146 + 10 u
= 16 u + 146
16 u + 146 = 32216 u = 322 - 14616 u = 176
1 u = 176 ÷ 16 = 11 Number of pens that Tim had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 11 = 110(b)Total number of pens that the three boys had at the end = 15 u = 15 x 11 = 165 Answer(s): (a) 110; (b) 165