PSLE Olivia had an equal number of white and pink beads. She gave 32 white beads and 28 pink beads to Mary. She gave the remaining beads to Nora. Nora was given 3 white beads for every 5 pink beads. How many beads did Olivia have at first?
|
White |
Pink |
Before |
3 u + 32 |
5 u + 28 |
Change |
- 32 |
- 28 |
After |
3 u |
5 u |
The number of white and pink beads is equal at first.
3 u + 32 = 5 u + 28
5 u - 3 u = 32 - 28
2 u = 4
1 u = 4 ÷ 2 = 2
Number of white beads that Olivia had at first
= 3 u + 32
= 3 x 2 + 32
= 6 + 32
= 38
Number of beads that Olivia had at first
= 2 x 38
= 76
Answer(s): 76