PSLE Shiyun had an equal number of pink and green beads. She gave 34 pink beads and 12 green beads to Mary. She gave the remaining beads to Nora. Nora was given 3 pink beads for every 5 green beads. How many beads did Shiyun have at first?
|
Pink |
Green |
Before |
3 u + 34 |
5 u + 12 |
Change |
- 34 |
- 12 |
After |
3 u |
5 u |
The number of pink and green beads is equal at first.
3 u + 34 = 5 u + 12
5 u - 3 u = 34 - 12
2 u = 22
1 u = 22 ÷ 2 = 11
Number of pink beads that Shiyun had at first
= 3 u + 34
= 3 x 11 + 34
= 33 + 34
= 67
Number of beads that Shiyun had at first
= 2 x 67
= 134
Answer(s): 134