PSLE Hilda had an equal number of red and blue beads. She gave 35 red beads and 17 blue beads to Mary. She gave the remaining beads to Nora. Nora was given 5 red beads for every 7 blue beads. How many beads did Hilda have at first?
|
Red |
Blue |
Before |
5 u + 35 |
7 u + 17 |
Change |
- 35 |
- 17 |
After |
5 u |
7 u |
The number of red and blue beads is equal at first.
5 u + 35 = 7 u + 17
7 u - 5 u = 35 - 17
2 u = 18
1 u = 18 ÷ 2 = 9
Number of red beads that Hilda had at first
= 5 u + 35
= 5 x 9 + 35
= 45 + 35
= 80
Number of beads that Hilda had at first
= 2 x 80
= 160
Answer(s): 160