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