PSLE Rachel had an equal number of gold and purple beads. She gave 39 gold beads and 30 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 5 gold beads for every 8 purple beads. How many beads did Rachel have at first?
|
Gold |
Purple |
Before |
5 u + 39 |
8 u + 30 |
Change |
- 39 |
- 30 |
After |
5 u |
8 u |
The number of gold and purple beads is equal at first.
5 u + 39 = 8 u + 30
8 u - 5 u = 39 - 30
3 u = 9
1 u = 9 ÷ 3 = 3
Number of gold beads that Rachel had at first
= 5 u + 39
= 5 x 3 + 39
= 15 + 39
= 54
Number of beads that Rachel had at first
= 2 x 54
= 108
Answer(s): 108