PSLE Xuan had a box of blue marbles and pink marbles in the ratio 16 : 9. She removed an equal number of blue marbles and pink marbles from the box. The ratio of the number of blue marbles and pink marbles left in the box became 7 : 3. What percentage of the marbles were left in the box?
|
Blue marbles |
Pink marbles |
Difference |
Total |
Before |
16x4 = 64 u |
9x4 = 36 u |
7x4 = 28 u |
25x4 = 100 u |
Change |
- 15 u |
- 15 u |
|
|
After |
7x7 = 49 u |
3x7 = 21 u |
4x7 = 28 u |
10x7 = 70 u |
When Xuan removed an equal number of blue marbles and pink marbles, the difference between the number of blue marbles and pink marbles at first and in the end remains the same.
LCM of 7 and 4 is 28.
Percentage of the marbles left in the box
=
70100 x 100%
= 710 x 100%
= 70%
Answer: 70%