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