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