PSLE Jean had a box of black marbles and blue marbles in the ratio 17 : 8. She removed an equal number of black marbles and blue marbles from the box. The ratio of the number of black marbles and blue marbles left in the box became 10 : 1. What percentage of the marbles were left in the box?
|
Black marbles |
Blue marbles |
Difference |
Total |
Before |
17x1 = 17 u |
8x1 = 8 u |
9x1 = 9 u |
25x1 = 25 u |
Change |
- 7 u |
- 7 u |
|
|
After |
10x1 = 10 u |
1x1 = 1 u |
9x1 = 9 u |
11x1 = 11 u |
When Jean removed an equal number of black marbles and blue marbles, the difference between the number of black marbles and blue marbles at first and in the end remains the same.
LCM of 9 and 9 is 9.
Percentage of the marbles left in the box
=
1125 x 100%
= 1125 x 100%
= 44%
Answer: 44%