PSLE Jean had a bag of grey marbles and blue marbles in the ratio 16 : 9. She removed an equal number of grey marbles and blue marbles from the bag. The ratio of the number of grey marbles and blue marbles left in the bag became 9 : 1. What percentage of the marbles were left in the bag?
|
Grey marbles |
Blue marbles |
Difference |
Total |
Before |
16x8 = 128 u |
9x8 = 72 u |
7x8 = 56 u |
25x8 = 200 u |
Change |
- 65 u |
- 65 u |
|
|
After |
9x7 = 63 u |
1x7 = 7 u |
8x7 = 56 u |
10x7 = 70 u |
When Jean removed an equal number of grey marbles and blue marbles, the difference between the number of grey marbles and blue marbles at first and in the end remains the same.
LCM of 7 and 8 is 56.
Percentage of the marbles left in the bag
=
70200 x 100%
= 720 x 100%
= 35%
Answer: 35%