PSLE Usha had a basket of white balls and grey balls in the ratio 13 : 7. She removed an equal number of white balls and grey balls from the basket. The ratio of the number of white balls and grey balls left in the basket became 3 : 1. What percentage of the balls were left in the basket?
|
White balls |
Grey balls |
Difference |
Total |
Before |
13x1 = 13 u |
7x1 = 7 u |
6x1 = 6 u |
20x1 = 20 u |
Change |
- 4 u |
- 4 u |
|
|
After |
3x3 = 9 u |
1x3 = 3 u |
2x3 = 6 u |
4x3 = 12 u |
When Usha removed an equal number of white balls and grey balls, the difference between the number of white balls and grey balls at first and in the end remains the same.
LCM of 6 and 2 is 6.
Percentage of the balls left in the basket
=
1220 x 100%
= 35 x 100%
= 60%
Answer: 60%