PSLE Emily had a bag of black marbles and silver marbles in the ratio 17 : 8. She removed an equal number of black marbles and silver marbles from the bag. The ratio of the number of black marbles and silver marbles left in the bag became 7 : 3. What percentage of the marbles were left in the bag?
|
Black marbles |
Silver marbles |
Difference |
Total |
Before |
17x4 = 68 u |
8x4 = 32 u |
9x4 = 36 u |
25x4 = 100 u |
Change |
- 5 u |
- 5 u |
|
|
After |
7x9 = 63 u |
3x9 = 27 u |
4x9 = 36 u |
10x9 = 90 u |
When Emily removed an equal number of black marbles and silver marbles, the difference between the number of black marbles and silver marbles at first and in the end remains the same.
LCM of 9 and 4 is 36.
Percentage of the marbles left in the bag
=
90100 x 100%
= 910 x 100%
= 90%
Answer: 90%