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