PSLE Anna had an equal number of brown and green beads. She gave 30 brown beads and 12 green beads to Mary. She gave the remaining beads to Nora. Nora was given 5 brown beads for every 8 green beads. How many beads did Anna have at first?
|
Brown |
Green |
Before |
5 u + 30 |
8 u + 12 |
Change |
- 30 |
- 12 |
After |
5 u |
8 u |
The number of brown and green beads is equal at first.
5 u + 30 = 8 u + 12
8 u - 5 u = 30 - 12
3 u = 18
1 u = 18 ÷ 3 = 6
Number of brown beads that Anna had at first
= 5 u + 30
= 5 x 6 + 30
= 30 + 30
= 60
Number of beads that Anna had at first
= 2 x 60
= 120
Answer(s): 120