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