Gabriel, Oliver and Wesley had a total of 474 cards at first. After a week, the number of Gabriel's cards became 5 times the number of cards he had at first. The number of Oliver's cards decreased by 58. Wesley 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 Wesley have at first?
- What was the total number of cards that the three boys had in the end?
|
Gabriel |
Oliver |
Wesley |
Total |
Before |
1 u |
5 u + 58 |
10 u |
|
Change |
x 5 |
- 58 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of cards at first
=
1 u + 5 u + 58 + 10 u
= 16 u + 58
16 u + 58 = 47416 u = 474 - 5816 u = 416
1 u = 416 ÷ 16 = 26 Number of cards that Wesley had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 26 = 260(b)Total number of cards that the three boys had at the end = 15 u = 15 x 26 = 390 Answer(s): (a) 260; (b) 390