Rael and Caden had the same number of beads. Rael gave away
45 of his beads while Caden gave away
23 of his beads. Given that Rael gave away 12 beads more than Caden, how many beads did Rael have at first?
| |
Rael's beads |
Caden's beads |
| Before |
5x3 =
15 u |
3x5 =
15 u |
| Change |
- 4x3 =
- 12 u |
- 2x5 =
- 10 u |
| After |
1x3 =
3 u |
1x5 =
5 u |
The number of cards that Rael and Caden each had at first is the same. Make the number of cards that Rael and Caden each had at first the same. LCM of 5 and 3 is 15.
Number of beads that Rael gave away more than Caden
= 12 u - 10 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of beads that Rael had at first
= 15 u
= 15 x 6
= 90
Answer(s): 90
