PSLE Nora had an equal number of blue and gold beads. She gave 39 blue beads and 12 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 3 blue beads for every 6 gold beads. How many beads did Nora have at first?
|
Blue |
Gold |
Before |
3 u + 39 |
6 u + 12 |
Change |
- 39 |
- 12 |
After |
3 u |
6 u |
The number of blue and gold beads is equal at first.
3 u + 39 = 6 u + 12
6 u - 3 u = 39 - 12
3 u = 27
1 u = 27 ÷ 3 = 9
Number of blue beads that Nora had at first
= 3 u + 39
= 3 x 9 + 39
= 27 + 39
= 66
Number of beads that Nora had at first
= 2 x 66
= 132
Answer(s): 132