Jack had
38 the number of cards that Ivan had at first. After Ivan gave Jack 51 of his cards, Jack had
45 the number of cards that Ivan had. How many cards did Ivan have in the end?
| |
Jack |
Ivan |
Total |
| Before |
3x9 =
27 u |
8x9 =
72 u |
11x9 =
99 u |
| Change |
+ 17 u |
- 17 u |
|
| After |
4x11 =
44 u |
5x11 =
55 u |
9x11 =
99 u |
The total number of cards that Jack and Ivan had at first and in the end remains unchanged. Make the total number of cards the same. LCM of 11 and 9 is 99.
Number of cards that Ivan gave Jack
= 44 u - 27 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of cards that Ivan had in the end
= 55 u
= 55 x 3
= 165
Answer(s): 165
