Carl and Tom had the same number of erasers. Carl gave away
34 of his erasers while Tom gave away
35 of his erasers. Given that Carl gave away 12 erasers more than Tom, how many erasers did Carl have at first?
|
Carl's erasers |
Tom's erasers |
Before |
4x5 = 20 u |
5x4 = 20 u |
Change |
- 3x5 = - 15 u |
- 3x4 = - 12 u |
After |
1x5 = 5 u |
2x4 = 8 u |
The number of cards that Carl and Tom each had at first is the same. Make the number of cards that Carl and Tom each had at first the same. LCM of 4 and 5 is 20.
Number of erasers that Carl gave away more than Tom
= 15 u - 12 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of erasers that Carl had at first
= 20 u
= 20 x 4
= 80
Answer(s): 80