Brandon, Reggie and Zeph had a total of 427 cards at first. After a week, the number of Brandon's cards became 3 times the number of cards he had at first. The number of Reggie's cards decreased by 237. Zeph 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 Zeph have at first?
- What was the total number of cards that the three boys had in the end?
|
Brandon |
Reggie |
Zeph |
Total |
Before |
1 u |
3 u + 237 |
6 u |
|
Change |
x 3 |
- 237 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of cards at first
=
1 u + 3 u + 237 + 6 u
= 10 u + 237
10 u + 237 = 42710 u = 427 - 23710 u = 190
1 u = 190 ÷ 10 = 19 Number of cards that Zeph had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 19 = 114(b)Total number of cards that the three boys had at the end = 9 u = 9 x 19 = 171 Answer(s): (a) 114; (b) 171