PSLE Xandra had an equal number of white and purple beads. She gave 37 white beads and 13 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 5 white beads for every 7 purple beads. How many beads did Xandra have at first?
|
White |
Purple |
Before |
5 u + 37 |
7 u + 13 |
Change |
- 37 |
- 13 |
After |
5 u |
7 u |
The number of white and purple beads is equal at first.
5 u + 37 = 7 u + 13
7 u - 5 u = 37 - 13
2 u = 24
1 u = 24 ÷ 2 = 12
Number of white beads that Xandra had at first
= 5 u + 37
= 5 x 12 + 37
= 60 + 37
= 97
Number of beads that Xandra had at first
= 2 x 97
= 194
Answer(s): 194