PSLE Yen had a box of purple marbles and pink marbles in the ratio 16 : 9. She removed an equal number of purple marbles and pink marbles from the box. The ratio of the number of purple marbles and pink marbles left in the box became 10 : 3. What percentage of the marbles were left in the box?
|
Purple marbles |
Pink 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 Yen removed an equal number of purple marbles and pink marbles, the difference between the number of purple marbles and pink marbles at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the marbles left in the box
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%