Charlie, Ethan and Seth had a total of 592 cards at first. After a week, the number of Charlie's cards became 3 times the number of cards he had at first. The number of Ethan's cards decreased by 128. Seth 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 Seth have at first?
- What was the total number of cards that the three boys had in the end?
|
Charlie |
Ethan |
Seth |
Total |
Before |
1 u |
3 u + 128 |
12 u |
|
Change |
x 3 |
- 128 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of cards at first
=
1 u + 3 u + 128 + 12 u
= 16 u + 128
16 u + 128 = 59216 u = 592 - 12816 u = 464
1 u = 464 ÷ 16 = 29 Number of cards that Seth had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 29 = 348(b)Total number of cards that the three boys had at the end = 9 u = 9 x 29 = 261 Answer(s): (a) 348; (b) 261