PSLE Diana had a basket of black balls and white balls in the ratio 13 : 7. She removed an equal number of black balls and white balls from the basket. The ratio of the number of black balls and white balls left in the basket became 9 : 4. What percentage of the balls were left in the basket?
|
Black balls |
White balls |
Difference |
Total |
Before |
13x5 = 65 u |
7x5 = 35 u |
6x5 = 30 u |
20x5 = 100 u |
Change |
- 11 u |
- 11 u |
|
|
After |
9x6 = 54 u |
4x6 = 24 u |
5x6 = 30 u |
13x6 = 78 u |
When Diana removed an equal number of black balls and white balls, the difference between the number of black balls and white balls at first and in the end remains the same.
LCM of 6 and 5 is 30.
Percentage of the balls left in the basket
=
78100 x 100%
= 3950 x 100%
= 78%
Answer: 78%