PSLE Gem had a bag of blue marbles and green marbles in the ratio 16 : 9. She removed an equal number of blue marbles and green marbles from the bag. The ratio of the number of blue marbles and green marbles left in the bag became 8 : 1. What percentage of the marbles were left in the bag?
|
Blue marbles |
Green marbles |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 8 u |
- 8 u |
|
|
After |
8x1 = 8 u |
1x1 = 1 u |
7x1 = 7 u |
9x1 = 9 u |
When Gem removed an equal number of blue marbles and green marbles, the difference between the number of blue marbles and green marbles at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the marbles left in the bag
=
925 x 100%
= 925 x 100%
= 36%
Answer: 36%