PSLE Xandra had an equal number of blue and white beads. She gave 23 blue beads and 20 white beads to Mary. She gave the remaining beads to Nora. Nora was given 4 blue beads for every 7 white beads. How many beads did Xandra have at first?
|
Blue |
White |
Before |
4 u + 23 |
7 u + 20 |
Change |
- 23 |
- 20 |
After |
4 u |
7 u |
The number of blue and white beads is equal at first.
4 u + 23 = 7 u + 20
7 u - 4 u = 23 - 20
3 u = 3
1 u = 3 ÷ 3 = 1
Number of blue beads that Xandra had at first
= 4 u + 23
= 4 x 1 + 23
= 4 + 23
= 27
Number of beads that Xandra had at first
= 2 x 27
= 54
Answer(s): 54