PSLE Kylie had a box of silver beads and green beads in the ratio 16 : 9. She removed an equal number of silver beads and green beads from the box. The ratio of the number of silver beads and green beads left in the box became 10 : 3. What percentage of the beads were left in the box?
|
Silver beads |
Green 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 Kylie removed an equal number of silver beads and green beads, the difference between the number of silver beads and green beads at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the beads left in the box
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%