PSLE Fanny had a basket of pink marbles and brown marbles in the ratio 16 : 9. She removed an equal number of pink marbles and brown marbles from the basket. The ratio of the number of pink marbles and brown marbles left in the basket became 8 : 1. What percentage of the marbles were left in the basket?
|
Pink marbles |
Brown 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 Fanny removed an equal number of pink marbles and brown marbles, the difference between the number of pink marbles and brown 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
=
925 x 100%
= 925 x 100%
= 36%
Answer: 36%