PSLE Elyse had an equal number of purple and red beads. She gave 37 purple beads and 35 red beads to Mary. She gave the remaining beads to Nora. Nora was given 2 purple beads for every 4 red beads. How many beads did Elyse have at first?
|
Purple |
Red |
Before |
2 u + 37 |
4 u + 35 |
Change |
- 37 |
- 35 |
After |
2 u |
4 u |
The number of purple and red beads is equal at first.
2 u + 37 = 4 u + 35
4 u - 2 u = 37 - 35
2 u = 2
1 u = 2 ÷ 2 = 1
Number of purple beads that Elyse had at first
= 2 u + 37
= 2 x 1 + 37
= 2 + 37
= 39
Number of beads that Elyse had at first
= 2 x 39
= 78
Answer(s): 78