PSLE Joelle had an equal number of gold and grey beads. She gave 39 gold beads and 33 grey beads to Mary. She gave the remaining beads to Nora. Nora was given 3 gold beads for every 6 grey beads. How many beads did Joelle have at first?
|
Gold |
Grey |
Before |
3 u + 39 |
6 u + 33 |
Change |
- 39 |
- 33 |
After |
3 u |
6 u |
The number of gold and grey beads is equal at first.
3 u + 39 = 6 u + 33
6 u - 3 u = 39 - 33
3 u = 6
1 u = 6 ÷ 3 = 2
Number of gold beads that Joelle had at first
= 3 u + 39
= 3 x 2 + 39
= 6 + 39
= 45
Number of beads that Joelle had at first
= 2 x 45
= 90
Answer(s): 90