PSLE Gem had an equal number of red and blue beads. She gave 30 red beads and 20 blue beads to Mary. She gave the remaining beads to Nora. Nora was given 4 red beads for every 6 blue beads. How many beads did Gem have at first?
|
Red |
Blue |
Before |
4 u + 30 |
6 u + 20 |
Change |
- 30 |
- 20 |
After |
4 u |
6 u |
The number of red and blue beads is equal at first.
4 u + 30 = 6 u + 20
6 u - 4 u = 30 - 20
2 u = 10
1 u = 10 ÷ 2 = 5
Number of red beads that Gem had at first
= 4 u + 30
= 4 x 5 + 30
= 20 + 30
= 50
Number of beads that Gem had at first
= 2 x 50
= 100
Answer(s): 100