Mark had
35 the number of cards that Peter had at first. After Peter gave Mark 27 of his cards, Mark had
34 the number of cards that Peter had. How many cards did Mark have at first?
|
Mark |
Peter |
Total |
Before |
3x7 = 21 u |
5x7 = 35 u |
8x7 = 56 u |
Change |
+ 3 u |
- 3 u |
|
After |
3x8 = 24 u |
4x8 = 32 u |
7x8 = 56 u |
The total number of cards that Mark and Peter had at first and in the end remains unchanged. Make the total number of cards the same. LCM of 8 and 7 is 56.
Number of cards that Peter gave Mark
= 24 u - 21 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of cards that Mark had at first
= 21 u
= 21 x 9
= 189
Answer(s): 189