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