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