PSLE Penelope had a basket of yellow marbles and blue marbles in the ratio 17 : 8. She removed an equal number of yellow marbles and blue marbles from the basket. The ratio of the number of yellow marbles and blue marbles left in the basket became 10 : 1. What percentage of the marbles were left in the basket?
|
Yellow 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 Penelope removed an equal number of yellow marbles and blue marbles, the difference between the number of yellow 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 basket
=
1125 x 100%
= 1125 x 100%
= 44%
Answer: 44%