PSLE Pamela had a basket of blue marbles and brown marbles in the ratio 17 : 8. She removed an equal number of blue marbles and brown marbles from the basket. The ratio of the number of blue marbles and brown marbles left in the basket became 10 : 1. What percentage of the marbles were left in the basket?
|
Blue marbles |
Brown 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 Pamela removed an equal number of blue marbles and brown marbles, the difference between the number of blue marbles and brown marbles at first and in the end remains the same.
LCM of 9 and 9 is 9.
Percentage of the marbles left in the basket
=
1125 x 100%
= 1125 x 100%
= 44%
Answer: 44%