PSLE Yoko had an equal number of purple and gold beads. She gave 28 purple beads and 16 gold beads to Mary. She gave the remaining beads to Nora. Nora was given 5 purple beads for every 7 gold beads. How many beads did Yoko have at first?
|
Purple |
Gold |
Before |
5 u + 28 |
7 u + 16 |
Change |
- 28 |
- 16 |
After |
5 u |
7 u |
The number of purple and gold beads is equal at first.
5 u + 28 = 7 u + 16
7 u - 5 u = 28 - 16
2 u = 12
1 u = 12 ÷ 2 = 6
Number of purple beads that Yoko had at first
= 5 u + 28
= 5 x 6 + 28
= 30 + 28
= 58
Number of beads that Yoko had at first
= 2 x 58
= 116
Answer(s): 116