PSLE Diana had a bag of brown balls and black balls in the ratio 17 : 8. She removed an equal number of brown balls and black balls from the bag. The ratio of the number of brown balls and black balls left in the bag became 10 : 1. What percentage of the balls were left in the bag?
|
Brown balls |
Black balls |
Difference |
Total |
Before |
17x1 = 17 u |
8x1 = 8 u |
9x1 = 9 u |
25x1 = 25 u |
Change |
- 7 u |
- 7 u |
|
|
After |
10x1 = 10 u |
1x1 = 1 u |
9x1 = 9 u |
11x1 = 11 u |
When Diana removed an equal number of brown balls and black balls, the difference between the number of brown balls and black balls at first and in the end remains the same.
LCM of 9 and 9 is 9.
Percentage of the balls left in the bag
=
1125 x 100%
= 1125 x 100%
= 44%
Answer: 44%