PSLE Zara had an equal number of grey and purple beads. She gave 36 grey beads and 33 purple beads to Mary. She gave the remaining beads to Nora. Nora was given 5 grey beads for every 8 purple beads. How many beads did Zara have at first?
|
Grey |
Purple |
Before |
5 u + 36 |
8 u + 33 |
Change |
- 36 |
- 33 |
After |
5 u |
8 u |
The number of grey and purple beads is equal at first.
5 u + 36 = 8 u + 33
8 u - 5 u = 36 - 33
3 u = 3
1 u = 3 ÷ 3 = 1
Number of grey beads that Zara had at first
= 5 u + 36
= 5 x 1 + 36
= 5 + 36
= 41
Number of beads that Zara had at first
= 2 x 41
= 82
Answer(s): 82