Reggie and Fabian had the same number of buttons. Reggie gave away
45 of his buttons while Fabian gave away
23 of his buttons. Given that Reggie gave away 12 buttons more than Fabian, how many buttons did Reggie have at first?
| |
Reggie's buttons |
Fabian's buttons |
| Before |
5x3 =
15 u |
3x5 =
15 u |
| Change |
- 4x3 =
- 12 u |
- 2x5 =
- 10 u |
| After |
1x3 =
3 u |
1x5 =
5 u |
The number of cards that Reggie and Fabian each had at first is the same. Make the number of cards that Reggie and Fabian each had at first the same. LCM of 5 and 3 is 15.
Number of buttons that Reggie gave away more than Fabian
= 12 u - 10 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of buttons that Reggie had at first
= 15 u
= 15 x 6
= 90
Answer(s): 90
