PSLE Gabby had a bag of gold beads and pink beads in the ratio 16 : 9. She removed an equal number of gold beads and pink beads from the bag. The ratio of the number of gold beads and pink beads left in the bag became 8 : 1. What percentage of the beads were left in the bag?
|
Gold beads |
Pink 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 Gabby removed an equal number of gold beads and pink beads, the difference between the number of gold beads and pink 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%