PSLE Penelope had an equal number of green and yellow beads. She gave 31 green beads and 23 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 4 green beads for every 6 yellow beads. How many beads did Penelope have at first?
|
Green |
Yellow |
Before |
4 u + 31 |
6 u + 23 |
Change |
- 31 |
- 23 |
After |
4 u |
6 u |
The number of green and yellow beads is equal at first.
4 u + 31 = 6 u + 23
6 u - 4 u = 31 - 23
2 u = 8
1 u = 8 ÷ 2 = 4
Number of green beads that Penelope had at first
= 4 u + 31
= 4 x 4 + 31
= 16 + 31
= 47
Number of beads that Penelope had at first
= 2 x 47
= 94
Answer(s): 94