PSLE Raeann had an equal number of purple and green beads. She gave 20 purple beads and 11 green beads to Mary. She gave the remaining beads to Nora. Nora was given 5 purple beads for every 8 green beads. How many beads did Raeann have at first?
|
Purple |
Green |
Before |
5 u + 20 |
8 u + 11 |
Change |
- 20 |
- 11 |
After |
5 u |
8 u |
The number of purple and green beads is equal at first.
5 u + 20 = 8 u + 11
8 u - 5 u = 20 - 11
3 u = 9
1 u = 9 ÷ 3 = 3
Number of purple beads that Raeann had at first
= 5 u + 20
= 5 x 3 + 20
= 15 + 20
= 35
Number of beads that Raeann had at first
= 2 x 35
= 70
Answer(s): 70