PSLE Diana had an equal number of grey and gold beads. She gave 38 grey beads and 29 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 3 grey beads for every 6 gold beads. How many beads did Diana have at first?
|
Grey |
Gold |
Before |
3 u + 38 |
6 u + 29 |
Change |
- 38 |
- 29 |
After |
3 u |
6 u |
The number of grey and gold beads is equal at first.
3 u + 38 = 6 u + 29
6 u - 3 u = 38 - 29
3 u = 9
1 u = 9 ÷ 3 = 3
Number of grey beads that Diana had at first
= 3 u + 38
= 3 x 3 + 38
= 9 + 38
= 47
Number of beads that Diana had at first
= 2 x 47
= 94
Answer(s): 94