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