Xavier had
58 the number of cards that Sam had at first. After Sam gave Xavier 28 of his cards, Xavier had
45 the number of cards that Sam had. How many cards did Xavier have at first?
|
Xavier |
Sam |
Total |
Before |
5x9 = 45 u |
8x9 = 72 u |
13x9 = 117 u |
Change |
+ 7 u |
- 7 u |
|
After |
4x13 = 52 u |
5x13 = 65 u |
9x13 = 117 u |
The total number of cards that Xavier and Sam had at first and in the end remains unchanged. Make the total number of cards the same. LCM of 13 and 9 is 117.
Number of cards that Sam gave Xavier
= 52 u - 45 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of cards that Xavier had at first
= 45 u
= 45 x 4
= 180
Answer(s): 180