PSLE Lynn had an equal number of red and black beads. She gave 23 red beads and 17 black beads to Mary. She gave the remaining beads to Nora. Nora was given 4 red beads for every 7 black beads. How many beads did Lynn have at first?
|
Red |
Black |
Before |
4 u + 23 |
7 u + 17 |
Change |
- 23 |
- 17 |
After |
4 u |
7 u |
The number of red and black beads is equal at first.
4 u + 23 = 7 u + 17
7 u - 4 u = 23 - 17
3 u = 6
1 u = 6 ÷ 3 = 2
Number of red beads that Lynn had at first
= 4 u + 23
= 4 x 2 + 23
= 8 + 23
= 31
Number of beads that Lynn had at first
= 2 x 31
= 62
Answer(s): 62