PSLE Penelope had an equal number of yellow and purple beads. She gave 40 yellow beads and 28 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 2 yellow beads for every 5 purple beads. How many beads did Penelope have at first?
|
Yellow |
Purple |
Before |
2 u + 40 |
5 u + 28 |
Change |
- 40 |
- 28 |
After |
2 u |
5 u |
The number of yellow and purple beads is equal at first.
2 u + 40 = 5 u + 28
5 u - 2 u = 40 - 28
3 u = 12
1 u = 12 ÷ 3 = 4
Number of yellow beads that Penelope had at first
= 2 u + 40
= 2 x 4 + 40
= 8 + 40
= 48
Number of beads that Penelope had at first
= 2 x 48
= 96
Answer(s): 96