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