PSLE Sarah had an equal number of grey and blue beads. She gave 30 grey beads and 28 blue beads to Mary. She gave the remaining beads to Nora. Nora was given 2 grey beads for every 4 blue beads. How many beads did Sarah have at first?
|
Grey |
Blue |
Before |
2 u + 30 |
4 u + 28 |
Change |
- 30 |
- 28 |
After |
2 u |
4 u |
The number of grey and blue beads is equal at first.
2 u + 30 = 4 u + 28
4 u - 2 u = 30 - 28
2 u = 2
1 u = 2 ÷ 2 = 1
Number of grey beads that Sarah had at first
= 2 u + 30
= 2 x 1 + 30
= 2 + 30
= 32
Number of beads that Sarah had at first
= 2 x 32
= 64
Answer(s): 64