PSLE Lynn had a box of green balls and blue balls in the ratio 13 : 7. She removed an equal number of green balls and blue balls from the box. The ratio of the number of green balls and blue balls left in the box became 6 : 1. What percentage of the balls were left in the box?
|
Green balls |
Blue balls |
Difference |
Total |
Before |
13x5 = 65 u |
7x5 = 35 u |
6x5 = 30 u |
20x5 = 100 u |
Change |
- 29 u |
- 29 u |
|
|
After |
6x6 = 36 u |
1x6 = 6 u |
5x6 = 30 u |
7x6 = 42 u |
When Lynn removed an equal number of green balls and blue balls, the difference between the number of green balls and blue balls at first and in the end remains the same.
LCM of 6 and 5 is 30.
Percentage of the balls left in the box
=
42100 x 100%
= 2150 x 100%
= 42%
Answer: 42%