PSLE Cathy had a basket of gold marbles and red marbles in the ratio 18 : 7. She removed an equal number of gold marbles and red marbles from the basket. The ratio of the number of gold marbles and red marbles left in the basket became 3 : 1. What percentage of the marbles were left in the basket?
|
Gold marbles |
Red marbles |
Difference |
Total |
Before |
18x2 = 36 u |
7x2 = 14 u |
11x2 = 22 u |
25x2 = 50 u |
Change |
- 3 u |
- 3 u |
|
|
After |
3x11 = 33 u |
1x11 = 11 u |
2x11 = 22 u |
4x11 = 44 u |
When Cathy removed an equal number of gold marbles and red marbles, the difference between the number of gold marbles and red marbles at first and in the end remains the same.
LCM of 11 and 2 is 22.
Percentage of the marbles left in the basket
=
4450 x 100%
= 2225 x 100%
= 88%
Answer: 88%