PSLE Irene had a bag of green balls and grey balls in the ratio 13 : 7. She removed an equal number of green balls and grey balls from the bag. The ratio of the number of green balls and grey balls left in the bag became 9 : 4. What percentage of the balls were left in the bag?
|
Green balls |
Grey 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 Irene removed an equal number of green balls and grey balls, the difference between the number of green balls and grey balls at first and in the end remains the same.
LCM of 6 and 5 is 30.
Percentage of the balls left in the bag
=
78100 x 100%
= 3950 x 100%
= 78%
Answer: 78%