Ben and Michael had the same number of stamps. Ben gave away
57 of his stamps while Michael gave away
35 of his stamps. Given that Ben gave away 12 stamps more than Michael, how many stamps did Ben have at first?
|
Ben's stamps |
Michael's stamps |
Before |
7x5 = 35 u |
5x7 = 35 u |
Change |
- 5x5 = - 25 u |
- 3x7 = - 21 u |
After |
2x5 = 10 u |
2x7 = 14 u |
The number of cards that Ben and Michael each had at first is the same. Make the number of cards that Ben and Michael each had at first the same. LCM of 7 and 5 is 35.
Number of stamps that Ben gave away more than Michael
= 25 u - 21 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Number of stamps that Ben had at first
= 35 u
= 35 x 3
= 105
Answer(s): 105