Carl and Ben had the same number of cards at first. After Carl had bought another 37 cards and Ben had lost 9 of his cards, Carl had thrice as many cards as Ben. How many cards did each of them have at first?
| |
Ben |
Carl |
| Before |
1 u + 9 |
3 u - 37 |
| Change |
- 9 |
+ 37 |
| After |
1 u |
3 u |
Carl and Ben had the same number of cards at first.
3 u - 37 = 1 u + 9
3 u - 1 u = 9 + 37
2 u = 46
1 u = 46 ÷ 2 = 23
Number of cards that each of them had at first
= 1 u + 9
= 23 + 9
= 32
Answer(s): 32
