PSLE Hilda had an equal number of grey and purple beads. She gave 38 grey beads and 12 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 5 grey beads for every 7 purple beads. How many beads did Hilda have at first?
|
Grey |
Purple |
Before |
5 u + 38 |
7 u + 12 |
Change |
- 38 |
- 12 |
After |
5 u |
7 u |
The number of grey and purple beads is equal at first.
5 u + 38 = 7 u + 12
7 u - 5 u = 38 - 12
2 u = 26
1 u = 26 ÷ 2 = 13
Number of grey beads that Hilda had at first
= 5 u + 38
= 5 x 13 + 38
= 65 + 38
= 103
Number of beads that Hilda had at first
= 2 x 103
= 206
Answer(s): 206