Michael and Carl had the same number of stamps. Michael gave away
45 of his stamps while Carl gave away
23 of his stamps. Given that Michael gave away 12 stamps more than Carl, how many stamps did Michael have at first?
|
Michael's stamps |
Carl's stamps |
Before |
5x3 = 15 u |
3x5 = 15 u |
Change |
- 4x3 = - 12 u |
- 2x5 = - 10 u |
After |
1x3 = 3 u |
1x5 = 5 u |
The number of cards that Michael and Carl each had at first is the same. Make the number of cards that Michael and Carl each had at first the same. LCM of 5 and 3 is 15.
Number of stamps that Michael gave away more than Carl
= 12 u - 10 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of stamps that Michael had at first
= 15 u
= 15 x 6
= 90
Answer(s): 90