PSLE Irene had a box of purple balls and black balls in the ratio 13 : 7. She removed an equal number of purple balls and black balls from the box. The ratio of the number of purple balls and black balls left in the box became 3 : 1. What percentage of the balls were left in the box?
|
Purple balls |
Black 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 Irene removed an equal number of purple balls and black balls, the difference between the number of purple balls and black balls at first and in the end remains the same.
LCM of 6 and 2 is 6.
Percentage of the balls left in the box
=
1220 x 100%
= 35 x 100%
= 60%
Answer: 60%