Asher and Archie had the same number of buttons. Asher gave away
57 of his buttons while Archie gave away
35 of his buttons. Given that Asher gave away 12 buttons more than Archie, how many buttons did Asher have at first?
| |
Asher's buttons |
Archie's buttons |
| Before |
7x5 =
35 u |
5x7 =
35 u |
| Change |
- 5x5 =
- 25 u |
- 3x7 =
- 21 u |
| After |
2x5 =
10 u |
2x7 =
14 u |
The number of cards that Asher and Archie each had at first is the same. Make the number of cards that Asher and Archie each had at first the same. LCM of 7 and 5 is 35.
Number of buttons that Asher gave away more than Archie
= 25 u - 21 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
Number of buttons that Asher had at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
