George, Vaidev and Bryan had a total of 429 cards at first. After a week, the number of George's cards became 5 times the number of cards he had at first. The number of Vaidev's cards decreased by 61. Bryan had half as many cards as he had at first. In the end, the three boys had the same number of cards.
- How many cards did Bryan have at first?
- What was the total number of cards that the three boys had in the end?
|
George |
Vaidev |
Bryan |
Total |
Before |
1 u |
5 u + 61 |
10 u |
|
Change |
x 5 |
- 61 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of cards at first
=
1 u + 5 u + 61 + 10 u
= 16 u + 61
16 u + 61 = 42916 u = 429 - 6116 u = 368
1 u = 368 ÷ 16 = 23 Number of cards that Bryan had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 23 = 230(b)Total number of cards that the three boys had at the end = 15 u = 15 x 23 = 345 Answer(s): (a) 230; (b) 345