PSLE Winnie had an equal number of brown and white beads. She gave 13 brown beads and 11 white beads to Mary. She gave the remaining beads to Nora. Nora was given 3 brown beads for every 5 white beads. How many beads did Winnie have at first?
|
Brown |
White |
Before |
3 u + 13 |
5 u + 11 |
Change |
- 13 |
- 11 |
After |
3 u |
5 u |
The number of brown and white beads is equal at first.
3 u + 13 = 5 u + 11
5 u - 3 u = 13 - 11
2 u = 2
1 u = 2 ÷ 2 = 1
Number of brown beads that Winnie had at first
= 3 u + 13
= 3 x 1 + 13
= 3 + 13
= 16
Number of beads that Winnie had at first
= 2 x 16
= 32
Answer(s): 32