Jack and Julian had the same number of cards. Jack gave away
57 of his cards while Julian gave away
35 of his cards. Given that Jack gave away 12 cards more than Julian, how many cards did Jack have at first?
| |
Jack's cards |
Julian's cards |
| Before |
7x5 =
35 u |
5x7 =
35 u |
| Change |
- 5x5 =
- 25 u |
- 3x7 =
- 21 u |
| After |
2x5 =
10 u |
2x7 =
14 u |
The number of cards that Jack and Julian each had at first is the same. Make the number of cards that Jack and Julian each had at first the same. LCM of 7 and 5 is 35.
Number of cards that Jack gave away more than Julian
= 25 u - 21 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Number of cards that Jack had at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
