PSLE Abi had a bag of grey balls and black balls in the ratio 16 : 9. She removed an equal number of grey balls and black balls from the bag. The ratio of the number of grey balls and black balls left in the bag became 8 : 1. What percentage of the balls were left in the bag?
|
Grey balls |
Black balls |
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 Abi removed an equal number of grey balls and black balls, the difference between the number of grey balls and black balls at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the balls left in the bag
=
925 x 100%
= 925 x 100%
= 36%
Answer: 36%