PSLE Nora had a basket of brown beads and gold beads in the ratio 16 : 9. She removed an equal number of brown beads and gold beads from the basket. The ratio of the number of brown beads and gold beads left in the basket became 9 : 1. What percentage of the beads were left in the basket?
|
Brown beads |
Gold beads |
Difference |
Total |
Before |
16x8 = 128 u |
9x8 = 72 u |
7x8 = 56 u |
25x8 = 200 u |
Change |
- 65 u |
- 65 u |
|
|
After |
9x7 = 63 u |
1x7 = 7 u |
8x7 = 56 u |
10x7 = 70 u |
When Nora removed an equal number of brown beads and gold beads, the difference between the number of brown beads and gold beads at first and in the end remains the same.
LCM of 7 and 8 is 56.
Percentage of the beads left in the basket
=
70200 x 100%
= 720 x 100%
= 35%
Answer: 35%