Zoe and Penelope had an equal number of beads at first. Zoe used
15 of her beads and Penelope used
19 of her beads. They used 126 beads altogether. How many beads did Penelope have in the end?
|
Zoe |
Penelope |
Before |
5x9 = 45 u |
9x5 = 45 u |
Change |
- 1x9 = - 9 u |
- 1x5 = - 5 u |
After |
4x9 = 36 u |
8x5 = 40 u |
The number of beads that Zoe and Penelope each had at first is the same. Make the number of beads that Zoe and Penelope each had at first the same. LCM of 5 and 9 is 45.
Number of beads that Zoe and Penelope used
= 9 u + 5 u
= 14 u
14 u = 126
1 u = 126 ÷ 14 = 9
Number of beads that Penelope had in the end
= 40 u
= 40 x 9
= 360
Answer(s): 360