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