PSLE Jane had a box of gold balls and green balls in the ratio 13 : 9. She removed an equal number of gold balls and green balls from the box. The ratio of the number of gold balls and green balls left in the box became 8 : 3. What percentage of the balls were left in the box?
|
Gold balls |
Green 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 Jane removed an equal number of gold balls and green balls, the difference between the number of gold balls and green balls at first and in the end remains the same.
LCM of 4 and 5 is 20.
Percentage of the balls left in the box
=
44110 x 100%
= 25 x 100%
= 40%
Answer: 40%