PSLE Diana had an equal number of grey and silver beads. She gave 32 grey beads and 23 silver beads to Mary. She gave the remaining beads to Nora. Nora was given 3 grey beads for every 6 silver beads. How many beads did Diana have at first?
|
Grey |
Silver |
Before |
3 u + 32 |
6 u + 23 |
Change |
- 32 |
- 23 |
After |
3 u |
6 u |
The number of grey and silver beads is equal at first.
3 u + 32 = 6 u + 23
6 u - 3 u = 32 - 23
3 u = 9
1 u = 9 ÷ 3 = 3
Number of grey beads that Diana had at first
= 3 u + 32
= 3 x 3 + 32
= 9 + 32
= 41
Number of beads that Diana had at first
= 2 x 41
= 82
Answer(s): 82