PSLE Shiyun had a basket of brown marbles and blue marbles in the ratio 16 : 9. She removed an equal number of brown marbles and blue marbles from the basket. The ratio of the number of brown marbles and blue marbles left in the basket became 10 : 3. What percentage of the marbles were left in the basket?
|
Brown marbles |
Blue marbles |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 6 u |
- 6 u |
|
|
After |
10x1 = 10 u |
3x1 = 3 u |
7x1 = 7 u |
13x1 = 13 u |
When Shiyun removed an equal number of brown marbles and blue marbles, the difference between the number of brown marbles and blue marbles at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the marbles left in the basket
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%