PSLE Jean had a box of gold marbles and red marbles in the ratio 18 : 7. She removed an equal number of gold marbles and red marbles from the box. The ratio of the number of gold marbles and red marbles left in the box became 9 : 1. What percentage of the marbles were left in the box?
|
Gold marbles |
Red marbles |
Difference |
Total |
Before |
18x8 = 144 u |
7x8 = 56 u |
11x8 = 88 u |
25x8 = 200 u |
Change |
- 45 u |
- 45 u |
|
|
After |
9x11 = 99 u |
1x11 = 11 u |
8x11 = 88 u |
10x11 = 110 u |
When Jean 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 8 is 88.
Percentage of the marbles left in the box
=
110200 x 100%
= 1120 x 100%
= 55%
Answer: 55%