PSLE Abi had an equal number of purple and green beads. She gave 30 purple beads and 10 green beads to Mary. She gave the remaining beads to Nora. Nora was given 4 purple beads for every 6 green beads. How many beads did Abi have at first?
|
Purple |
Green |
Before |
4 u + 30 |
6 u + 10 |
Change |
- 30 |
- 10 |
After |
4 u |
6 u |
The number of purple and green beads is equal at first.
4 u + 30 = 6 u + 10
6 u - 4 u = 30 - 10
2 u = 20
1 u = 20 ÷ 2 = 10
Number of purple beads that Abi had at first
= 4 u + 30
= 4 x 10 + 30
= 40 + 30
= 70
Number of beads that Abi had at first
= 2 x 70
= 140
Answer(s): 140