PSLE Tina had a basket of silver marbles and red marbles in the ratio 16 : 9. She removed an equal number of silver marbles and red marbles from the basket. The ratio of the number of silver marbles and red marbles left in the basket became 10 : 3. What percentage of the marbles were left in the basket?
|
Silver marbles |
Red 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 Tina removed an equal number of silver marbles and red marbles, the difference between the number of silver marbles and red 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%