Vaidev, Seth and Xavier had a total of 596 cards at first. After a week, the number of Vaidev's cards became 3 times the number of cards he had at first. The number of Seth's cards decreased by 308. Xavier 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 Xavier have at first?
- What was the total number of cards that the three boys had in the end?
|
Vaidev |
Seth |
Xavier |
Total |
Before |
1 u |
3 u + 308 |
12 u |
|
Change |
x 3 |
- 308 |
x 14 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of cards at first
=
1 u + 3 u + 308 + 12 u
= 16 u + 308
16 u + 308 = 59616 u = 596 - 30816 u = 288
1 u = 288 ÷ 16 = 18 Number of cards that Xavier had at first
= 3 u ÷
14= 3 u x
41= 12 u = 12 x 18 = 216(b)Total number of cards that the three boys had at the end = 9 u = 9 x 18 = 162 Answer(s): (a) 216; (b) 162