Paul, Archie and Julian had a total of 535 cards at first. After a week, the number of Paul's cards became 3 times the number of cards he had at first. The number of Archie's cards decreased by 385. Julian 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 Julian have at first?
- What was the total number of cards that the three boys had in the end?
|
Paul |
Archie |
Julian |
Total |
Before |
1 u |
3 u + 385 |
6 u |
|
Change |
x 3 |
- 385 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of cards at first
=
1 u + 3 u + 385 + 6 u
= 10 u + 385
10 u + 385 = 53510 u = 535 - 38510 u = 150
1 u = 150 ÷ 10 = 15 Number of cards that Julian had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 15 = 90(b)Total number of cards that the three boys had at the end = 9 u = 9 x 15 = 135 Answer(s): (a) 90; (b) 135