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