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