PSLE Nora had a bag of pink beads and green beads in the ratio 16 : 9. She removed an equal number of pink beads and green beads from the bag. The ratio of the number of pink beads and green beads left in the bag became 8 : 1. What percentage of the beads were left in the bag?
|
Pink beads |
Green beads |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 8 u |
- 8 u |
|
|
After |
8x1 = 8 u |
1x1 = 1 u |
7x1 = 7 u |
9x1 = 9 u |
When Nora removed an equal number of pink beads and green beads, the difference between the number of pink beads and green 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
=
925 x 100%
= 925 x 100%
= 36%
Answer: 36%