PSLE Abi had an equal number of gold and brown beads. She gave 39 gold beads and 13 brown beads to Mary. She gave the remaining beads to Nora. Nora was given 5 gold beads for every 7 brown beads. How many beads did Abi have at first?
|
Gold |
Brown |
Before |
5 u + 39 |
7 u + 13 |
Change |
- 39 |
- 13 |
After |
5 u |
7 u |
The number of gold and brown beads is equal at first.
5 u + 39 = 7 u + 13
7 u - 5 u = 39 - 13
2 u = 26
1 u = 26 ÷ 2 = 13
Number of gold beads that Abi had at first
= 5 u + 39
= 5 x 13 + 39
= 65 + 39
= 104
Number of beads that Abi had at first
= 2 x 104
= 208
Answer(s): 208