PSLE Jane had a box of brown balls and yellow balls in the ratio 18 : 7. She removed an equal number of brown balls and yellow balls from the box. The ratio of the number of brown balls and yellow balls left in the box became 9 : 1. What percentage of the balls were left in the box?
|
Brown balls |
Yellow balls |
Difference |
Total |
Before |
18x8 = 144 u |
7x8 = 56 u |
11x8 = 88 u |
25x8 = 200 u |
Change |
- 45 u |
- 45 u |
|
|
After |
9x11 = 99 u |
1x11 = 11 u |
8x11 = 88 u |
10x11 = 110 u |
When Jane removed an equal number of brown balls and yellow balls, the difference between the number of brown balls and yellow balls at first and in the end remains the same.
LCM of 11 and 8 is 88.
Percentage of the balls left in the box
=
110200 x 100%
= 1120 x 100%
= 55%
Answer: 55%