PSLE Usha had a box of silver balls and red balls in the ratio 16 : 9. She removed an equal number of silver balls and red balls from the box. The ratio of the number of silver balls and red balls left in the box became 9 : 5. What percentage of the balls were left in the box?
|
Silver balls |
Red balls |
Difference |
Total |
Before |
16x4 = 64 u |
9x4 = 36 u |
7x4 = 28 u |
25x4 = 100 u |
Change |
- 1 u |
- 1 u |
|
|
After |
9x7 = 63 u |
5x7 = 35 u |
4x7 = 28 u |
14x7 = 98 u |
When Usha removed an equal number of silver balls and red balls, the difference between the number of silver balls and red balls at first and in the end remains the same.
LCM of 7 and 4 is 28.
Percentage of the balls left in the box
=
98100 x 100%
= 4950 x 100%
= 98%
Answer: 98%