PSLE Yoko had an equal number of blue and gold beads. She gave 24 blue beads and 14 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 5 blue beads for every 7 gold beads. How many beads did Yoko have at first?
|
Blue |
Gold |
Before |
5 u + 24 |
7 u + 14 |
Change |
- 24 |
- 14 |
After |
5 u |
7 u |
The number of blue and gold beads is equal at first.
5 u + 24 = 7 u + 14
7 u - 5 u = 24 - 14
2 u = 10
1 u = 10 ÷ 2 = 5
Number of blue beads that Yoko had at first
= 5 u + 24
= 5 x 5 + 24
= 25 + 24
= 49
Number of beads that Yoko had at first
= 2 x 49
= 98
Answer(s): 98