Flynn, George and Charlie had a total of 463 cards at first. After a week, the number of Flynn's cards became 3 times the number of cards he had at first. The number of George's cards decreased by 271. Charlie had one-quarter as many cards as he had at first. In the end, the three boys had the same number of cards.
- How many cards did Charlie have at first?
- What was the total number of cards that the three boys had in the end?
|
Flynn |
George |
Charlie |
Total |
Before |
1 u |
3 u + 271 |
12 u |
|
Change |
x 3 |
- 271 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of cards at first
=
1 u + 3 u + 271 + 12 u
= 16 u + 271
16 u + 271 = 46316 u = 463 - 27116 u = 192
1 u = 192 ÷ 16 = 12 Number of cards that Charlie had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 12 = 144(b)Total number of cards that the three boys had at the end = 9 u = 9 x 12 = 108 Answer(s): (a) 144; (b) 108