PSLE Xandra had an equal number of gold and red beads. She gave 33 gold beads and 24 red beads to Mary. She gave the remaining beads to Nora. Nora was given 5 gold beads for every 8 red beads. How many beads did Xandra have at first?
|
Gold |
Red |
Before |
5 u + 33 |
8 u + 24 |
Change |
- 33 |
- 24 |
After |
5 u |
8 u |
The number of gold and red beads is equal at first.
5 u + 33 = 8 u + 24
8 u - 5 u = 33 - 24
3 u = 9
1 u = 9 ÷ 3 = 3
Number of gold beads that Xandra had at first
= 5 u + 33
= 5 x 3 + 33
= 15 + 33
= 48
Number of beads that Xandra had at first
= 2 x 48
= 96
Answer(s): 96