PSLE Jane had a bag of purple beads and brown beads in the ratio 16 : 9. She removed an equal number of purple beads and brown beads from the bag. The ratio of the number of purple beads and brown beads left in the bag became 10 : 3. What percentage of the beads were left in the bag?
|
Purple beads |
Brown beads |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 6 u |
- 6 u |
|
|
After |
10x1 = 10 u |
3x1 = 3 u |
7x1 = 7 u |
13x1 = 13 u |
When Jane removed an equal number of purple beads and brown beads, the difference between the number of purple beads and brown beads at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the beads left in the bag
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%