PSLE Xandra had an equal number of green and purple beads. She gave 36 green beads and 10 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 3 green beads for every 5 purple beads. How many beads did Xandra have at first?
|
Green |
Purple |
Before |
3 u + 36 |
5 u + 10 |
Change |
- 36 |
- 10 |
After |
3 u |
5 u |
The number of green and purple beads is equal at first.
3 u + 36 = 5 u + 10
5 u - 3 u = 36 - 10
2 u = 26
1 u = 26 ÷ 2 = 13
Number of green beads that Xandra had at first
= 3 u + 36
= 3 x 13 + 36
= 39 + 36
= 75
Number of beads that Xandra had at first
= 2 x 75
= 150
Answer(s): 150