PSLE Jane had an equal number of yellow and gold beads. She gave 26 yellow beads and 10 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 3 yellow beads for every 5 gold beads. How many beads did Jane have at first?
|
Yellow |
Gold |
Before |
3 u + 26 |
5 u + 10 |
Change |
- 26 |
- 10 |
After |
3 u |
5 u |
The number of yellow and gold beads is equal at first.
3 u + 26 = 5 u + 10
5 u - 3 u = 26 - 10
2 u = 16
1 u = 16 ÷ 2 = 8
Number of yellow beads that Jane had at first
= 3 u + 26
= 3 x 8 + 26
= 24 + 26
= 50
Number of beads that Jane had at first
= 2 x 50
= 100
Answer(s): 100