Luis, Dylan and Bryan had a total of 578 cards at first. After a week, the number of Luis's cards became 5 times the number of cards he had at first. The number of Dylan's cards decreased by 322. 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?
|
Luis |
Dylan |
Bryan |
Total |
Before |
1 u |
5 u + 322 |
10 u |
|
Change |
x 5 |
- 322 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of cards at first
=
1 u + 5 u + 322 + 10 u
= 16 u + 322
16 u + 322 = 57816 u = 578 - 32216 u = 256
1 u = 256 ÷ 16 = 16 Number of cards that Bryan had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 16 = 160(b)Total number of cards that the three boys had at the end = 15 u = 15 x 16 = 240 Answer(s): (a) 160; (b) 240