PSLE Kathy had an equal number of silver and yellow beads. She gave 16 silver beads and 12 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 3 silver beads for every 5 yellow beads. How many beads did Kathy have at first?
|
Silver |
Yellow |
Before |
3 u + 16 |
5 u + 12 |
Change |
- 16 |
- 12 |
After |
3 u |
5 u |
The number of silver and yellow beads is equal at first.
3 u + 16 = 5 u + 12
5 u - 3 u = 16 - 12
2 u = 4
1 u = 4 ÷ 2 = 2
Number of silver beads that Kathy had at first
= 3 u + 16
= 3 x 2 + 16
= 6 + 16
= 22
Number of beads that Kathy had at first
= 2 x 22
= 44
Answer(s): 44