PSLE Lucy had a basket of white balls and brown balls in the ratio 13 : 9. She removed an equal number of white balls and brown balls from the basket. The ratio of the number of white balls and brown balls left in the basket became 8 : 3. What percentage of the balls were left in the basket?
|
White balls |
Brown balls |
Difference |
Total |
Before |
13x5 = 65 u |
9x5 = 45 u |
4x5 = 20 u |
22x5 = 110 u |
Change |
- 33 u |
- 33 u |
|
|
After |
8x4 = 32 u |
3x4 = 12 u |
5x4 = 20 u |
11x4 = 44 u |
When Lucy removed an equal number of white balls and brown balls, the difference between the number of white balls and brown balls at first and in the end remains the same.
LCM of 4 and 5 is 20.
Percentage of the balls left in the basket
=
44110 x 100%
= 25 x 100%
= 40%
Answer: 40%