PSLE Esther had an equal number of blue and pink beads. She gave 22 blue beads and 14 pink beads to Mary. She gave the remaining beads to Nora. Nora was given 3 blue beads for every 5 pink beads. How many beads did Esther have at first?
|
Blue |
Pink |
Before |
3 u + 22 |
5 u + 14 |
Change |
- 22 |
- 14 |
After |
3 u |
5 u |
The number of blue and pink beads is equal at first.
3 u + 22 = 5 u + 14
5 u - 3 u = 22 - 14
2 u = 8
1 u = 8 ÷ 2 = 4
Number of blue beads that Esther had at first
= 3 u + 22
= 3 x 4 + 22
= 12 + 22
= 34
Number of beads that Esther had at first
= 2 x 34
= 68
Answer(s): 68