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