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