PSLE Lucy had an equal number of yellow and grey beads. She gave 28 yellow beads and 26 grey beads to Mary. She gave the remaining beads to Nora. Nora was given 4 yellow beads for every 6 grey beads. How many beads did Lucy have at first?
|
Yellow |
Grey |
Before |
4 u + 28 |
6 u + 26 |
Change |
- 28 |
- 26 |
After |
4 u |
6 u |
The number of yellow and grey beads is equal at first.
4 u + 28 = 6 u + 26
6 u - 4 u = 28 - 26
2 u = 2
1 u = 2 ÷ 2 = 1
Number of yellow beads that Lucy had at first
= 4 u + 28
= 4 x 1 + 28
= 4 + 28
= 32
Number of beads that Lucy had at first
= 2 x 32
= 64
Answer(s): 64