Paul had
58 the number of cards that Billy had at first. After Billy gave Paul 56 of his cards, Paul had
45 the number of cards that Billy had. How many cards did Billy have in the end?
|
Paul |
Billy |
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 Paul and Billy 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 Billy gave Paul
= 52 u - 45 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of cards that Billy had in the end
= 65 u
= 65 x 8
= 520
Answer(s): 520