PSLE Wendy had an equal number of gold and purple beads. She gave 34 gold beads and 24 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 3 gold beads for every 5 purple beads. How many beads did Wendy have at first?
|
Gold |
Purple |
Before |
3 u + 34 |
5 u + 24 |
Change |
- 34 |
- 24 |
After |
3 u |
5 u |
The number of gold and purple beads is equal at first.
3 u + 34 = 5 u + 24
5 u - 3 u = 34 - 24
2 u = 10
1 u = 10 ÷ 2 = 5
Number of gold beads that Wendy had at first
= 3 u + 34
= 3 x 5 + 34
= 15 + 34
= 49
Number of beads that Wendy had at first
= 2 x 49
= 98
Answer(s): 98