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