PSLE Irene had a bag of green marbles and yellow marbles in the ratio 13 : 7. She removed an equal number of green marbles and yellow marbles from the bag. The ratio of the number of green marbles and yellow marbles left in the bag became 7 : 1. What percentage of the marbles were left in the bag?
|
Green marbles |
Yellow marbles |
Difference |
Total |
Before |
13x1 = 13 u |
7x1 = 7 u |
6x1 = 6 u |
20x1 = 20 u |
Change |
- 6 u |
- 6 u |
|
|
After |
7x1 = 7 u |
1x1 = 1 u |
6x1 = 6 u |
8x1 = 8 u |
When Irene removed an equal number of green marbles and yellow marbles, the difference between the number of green marbles and yellow marbles at first and in the end remains the same.
LCM of 6 and 6 is 6.
Percentage of the marbles left in the bag
=
820 x 100%
= 25 x 100%
= 40%
Answer: 40%