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