PSLE Jade had an equal number of blue and purple beads. She gave 36 blue beads and 16 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 3 blue beads for every 5 purple beads. How many beads did Jade have at first?
|
Blue |
Purple |
Before |
3 u + 36 |
5 u + 16 |
Change |
- 36 |
- 16 |
After |
3 u |
5 u |
The number of blue and purple beads is equal at first.
3 u + 36 = 5 u + 16
5 u - 3 u = 36 - 16
2 u = 20
1 u = 20 ÷ 2 = 10
Number of blue beads that Jade had at first
= 3 u + 36
= 3 x 10 + 36
= 30 + 36
= 66
Number of beads that Jade had at first
= 2 x 66
= 132
Answer(s): 132