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