PSLE Abi had an equal number of red and gold beads. She gave 23 red beads and 11 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 3 red beads for every 6 gold beads. How many beads did Abi have at first?
|
Red |
Gold |
Before |
3 u + 23 |
6 u + 11 |
Change |
- 23 |
- 11 |
After |
3 u |
6 u |
The number of red and gold beads is equal at first.
3 u + 23 = 6 u + 11
6 u - 3 u = 23 - 11
3 u = 12
1 u = 12 ÷ 3 = 4
Number of red beads that Abi had at first
= 3 u + 23
= 3 x 4 + 23
= 12 + 23
= 35
Number of beads that Abi had at first
= 2 x 35
= 70
Answer(s): 70