Xavier, Wesley and Elijah had a total of 505 cards at first. After a week, the number of Xavier's cards became 4 times the number of cards he had at first. The number of Wesley's cards decreased by 148. Elijah 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 Elijah have at first?
- What was the total number of cards that the three boys had in the end?
|
Xavier |
Wesley |
Elijah |
Total |
Before |
1 u |
4 u + 148 |
16 u |
|
Change |
x 4 |
- 148 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of cards at first
=
1 u + 4 u + 148 + 16 u
= 21 u + 148
21 u + 148 = 50521 u = 505 - 14821 u = 357
1 u = 357 ÷ 21 = 17 Number of cards that Elijah had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 17 = 272(b)Total number of cards that the three boys had at the end = 12 u = 12 x 17 = 204 Answer(s): (a) 272; (b) 204