Roshel had 81 more beads than Shannon. After Shannon gave away
16 of her beads, Roshel had thrice as many beads as Shannon. How many beads did Shannon have at first?
| |
Roshel |
Shannon |
Comparing Roshel and
Shannon at first |
81 more |
|
| Before |
15 u |
6 u |
| Change |
|
- 1 u |
| After |
15 u |
5 u |
Comparing Roshel and
Shannon in the end |
3x5 =
15 u |
1x5 =
5 u |
Number of beads that Shannon had in the end is repeated. Make the number of beads that Shannon had in the end the same. LCM of 1 and 5 is 5.
Number of beads that Roshel had at first = 15 u
Number of beads that Roshel had more than Shannon at first
= 15 u - 6 u
= 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Number of beads that Shannon had at first
= 6 u
= 6 x 9
= 54
Answer(s): 54
