PSLE Betty had an equal number of black and purple beads. She gave 24 black beads and 14 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 2 black beads for every 4 purple beads. How many beads did Betty have at first?
|
Black |
Purple |
Before |
2 u + 24 |
4 u + 14 |
Change |
- 24 |
- 14 |
After |
2 u |
4 u |
The number of black and purple beads is equal at first.
2 u + 24 = 4 u + 14
4 u - 2 u = 24 - 14
2 u = 10
1 u = 10 ÷ 2 = 5
Number of black beads that Betty had at first
= 2 u + 24
= 2 x 5 + 24
= 10 + 24
= 34
Number of beads that Betty had at first
= 2 x 34
= 68
Answer(s): 68