Peter had
58 the number of cards that Mark had at first. After Mark gave Peter 70 of his cards, Peter had
45 the number of cards that Mark had. How many cards did Mark have in the end?
|
Peter |
Mark |
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 Peter and Mark 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 Mark gave Peter
= 52 u - 45 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of cards that Mark had in the end
= 65 u
= 65 x 10
= 650
Answer(s): 650