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