PSLE Emily had an equal number of purple and yellow beads. She gave 33 purple beads and 12 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 5 purple beads for every 8 yellow beads. How many beads did Emily have at first?
|
Purple |
Yellow |
Before |
5 u + 33 |
8 u + 12 |
Change |
- 33 |
- 12 |
After |
5 u |
8 u |
The number of purple and yellow beads is equal at first.
5 u + 33 = 8 u + 12
8 u - 5 u = 33 - 12
3 u = 21
1 u = 21 ÷ 3 = 7
Number of purple beads that Emily had at first
= 5 u + 33
= 5 x 7 + 33
= 35 + 33
= 68
Number of beads that Emily had at first
= 2 x 68
= 136
Answer(s): 136