Carl and Tim had the same number of cards. Carl gave away
34 of his cards while Tim gave away
35 of his cards. Given that Carl gave away 12 cards more than Tim, how many cards did Carl have at first?
| |
Carl's cards |
Tim's cards |
| Before |
4x5 =
20 u |
5x4 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 3x4 =
- 12 u |
| After |
1x5 =
5 u |
2x4 =
8 u |
The number of cards that Carl and Tim each had at first is the same. Make the number of cards that Carl and Tim each had at first the same. LCM of 4 and 5 is 20.
Number of cards that Carl gave away more than Tim
= 15 u - 12 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of cards that Carl had at first
= 20 u
= 20 x 4
= 80
Answer(s): 80
