PSLE Jean had an equal number of silver and grey beads. She gave 34 silver beads and 22 grey beads to Mary. She gave the remaining beads to Nora. Nora was given 5 silver beads for every 8 grey beads. How many beads did Jean have at first?
|
Silver |
Grey |
Before |
5 u + 34 |
8 u + 22 |
Change |
- 34 |
- 22 |
After |
5 u |
8 u |
The number of silver and grey beads is equal at first.
5 u + 34 = 8 u + 22
8 u - 5 u = 34 - 22
3 u = 12
1 u = 12 ÷ 3 = 4
Number of silver beads that Jean had at first
= 5 u + 34
= 5 x 4 + 34
= 20 + 34
= 54
Number of beads that Jean had at first
= 2 x 54
= 108
Answer(s): 108