PSLE Kimberly had a basket of blue beads and black beads in the ratio 16 : 9. She removed an equal number of blue beads and black beads from the basket. The ratio of the number of blue beads and black beads left in the basket became 10 : 3. What percentage of the beads were left in the basket?
|
Blue beads |
Black beads |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 6 u |
- 6 u |
|
|
After |
10x1 = 10 u |
3x1 = 3 u |
7x1 = 7 u |
13x1 = 13 u |
When Kimberly removed an equal number of blue beads and black beads, the difference between the number of blue beads and black beads at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the beads left in the basket
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%